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Finding the Third Proportional to 39,737.25 and 82,707

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Solution

The third proportional to 39,737.25 and 82,707 is: 172,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,737.25 : 82,707 = 82,707 : x
  2. Step 2: Convert to fraction form
    39,737.25/82,707 = 82,707/x
  3. Step 3: Cross multiply
    39,737.25x = 82,707 × 82,707
  4. Step 4: Simplify right side
    39,737.25x = 6,840,447,849
  5. Step 5: Solve for x
    x = 6,840,447,849/39,737.25
  6. Step 6: Final answer
    x = 172,141.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.