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Finding the Third Proportional to 17,735.20 and 39,160.97

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Solution

The third proportional to 17,735.20 and 39,160.97 is: 86,471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.20 : 39,160.97 = 39,160.97 : x
  2. Step 2: Convert to fraction form
    17,735.20/39,160.97 = 39,160.97/x
  3. Step 3: Cross multiply
    17,735.20x = 39,160.97 × 39,160.97
  4. Step 4: Simplify right side
    17,735.20x = 1,533,581,473.44
  5. Step 5: Solve for x
    x = 1,533,581,473.44/17,735.20
  6. Step 6: Final answer
    x = 86,471.04

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.