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Finding the Third Proportional to 39,732 and 87,051

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Solution

The third proportional to 39,732 and 87,051 is: 190,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,732 : 87,051 = 87,051 : x
  2. Step 2: Convert to fraction form
    39,732/87,051 = 87,051/x
  3. Step 3: Cross multiply
    39,732x = 87,051 × 87,051
  4. Step 4: Simplify right side
    39,732x = 7,577,876,601
  5. Step 5: Solve for x
    x = 7,577,876,601/39,732
  6. Step 6: Final answer
    x = 190,724.77

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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.