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Finding the Third Proportional to 24,727 and 38,319

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Solution

The third proportional to 24,727 and 38,319 is: 59,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,727 : 38,319 = 38,319 : x
  2. Step 2: Convert to fraction form
    24,727/38,319 = 38,319/x
  3. Step 3: Cross multiply
    24,727x = 38,319 × 38,319
  4. Step 4: Simplify right side
    24,727x = 1,468,345,761
  5. Step 5: Solve for x
    x = 1,468,345,761/24,727
  6. Step 6: Final answer
    x = 59,382.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.