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Finding the Third Proportional to 39,735.94 and 86,306.25

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Solution

The third proportional to 39,735.94 and 86,306.25 is: 187,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,735.94 : 86,306.25 = 86,306.25 : x
  2. Step 2: Convert to fraction form
    39,735.94/86,306.25 = 86,306.25/x
  3. Step 3: Cross multiply
    39,735.94x = 86,306.25 × 86,306.25
  4. Step 4: Simplify right side
    39,735.94x = 7,448,768,789.06
  5. Step 5: Solve for x
    x = 7,448,768,789.06/39,735.94
  6. Step 6: Final answer
    x = 187,456.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.