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Finding the Third Proportional to 39,997.50 and 87,528

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Solution

The third proportional to 39,997.50 and 87,528 is: 191,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,997.50 : 87,528 = 87,528 : x
  2. Step 2: Convert to fraction form
    39,997.50/87,528 = 87,528/x
  3. Step 3: Cross multiply
    39,997.50x = 87,528 × 87,528
  4. Step 4: Simplify right side
    39,997.50x = 7,661,150,784
  5. Step 5: Solve for x
    x = 7,661,150,784/39,997.50
  6. Step 6: Final answer
    x = 191,540.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.