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Finding the Third Proportional to 39,952.50 and 87,681

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Solution

The third proportional to 39,952.50 and 87,681 is: 192,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,952.50 : 87,681 = 87,681 : x
  2. Step 2: Convert to fraction form
    39,952.50/87,681 = 87,681/x
  3. Step 3: Cross multiply
    39,952.50x = 87,681 × 87,681
  4. Step 4: Simplify right side
    39,952.50x = 7,687,957,761
  5. Step 5: Solve for x
    x = 7,687,957,761/39,952.50
  6. Step 6: Final answer
    x = 192,427.45

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Why These Related Problems?

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