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Finding the Third Proportional to 15,998 and 23,997

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Solution

The third proportional to 15,998 and 23,997 is: 35,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,998 : 23,997 = 23,997 : x
  2. Step 2: Convert to fraction form
    15,998/23,997 = 23,997/x
  3. Step 3: Cross multiply
    15,998x = 23,997 × 23,997
  4. Step 4: Simplify right side
    15,998x = 575,856,009
  5. Step 5: Solve for x
    x = 575,856,009/15,998
  6. Step 6: Final answer
    x = 35,995.50

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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.