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Finding the Third Proportional to 17,165.25 and 27,347.63

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Solution

The third proportional to 17,165.25 and 27,347.63 is: 43,570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165.25 : 27,347.63 = 27,347.63 : x
  2. Step 2: Convert to fraction form
    17,165.25/27,347.63 = 27,347.63/x
  3. Step 3: Cross multiply
    17,165.25x = 27,347.63 × 27,347.63
  4. Step 4: Simplify right side
    17,165.25x = 747,892,593.14
  5. Step 5: Solve for x
    x = 747,892,593.14/17,165.25
  6. Step 6: Final answer
    x = 43,570.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.