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Finding the Third Proportional to 32,727 and 50,377

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Solution

The third proportional to 32,727 and 50,377 is: 77,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,727 : 50,377 = 50,377 : x
  2. Step 2: Convert to fraction form
    32,727/50,377 = 50,377/x
  3. Step 3: Cross multiply
    32,727x = 50,377 × 50,377
  4. Step 4: Simplify right side
    32,727x = 2,537,842,129
  5. Step 5: Solve for x
    x = 2,537,842,129/32,727
  6. Step 6: Final answer
    x = 77,545.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.