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Finding the Third Proportional to 17,998 and 27,001

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Solution

The third proportional to 17,998 and 27,001 is: 40,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,998 : 27,001 = 27,001 : x
  2. Step 2: Convert to fraction form
    17,998/27,001 = 27,001/x
  3. Step 3: Cross multiply
    17,998x = 27,001 × 27,001
  4. Step 4: Simplify right side
    17,998x = 729,054,001
  5. Step 5: Solve for x
    x = 729,054,001/17,998
  6. Step 6: Final answer
    x = 40,507.50

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.