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Finding the Third Proportional to 24,739 and 38,261

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Solution

The third proportional to 24,739 and 38,261 is: 59,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,739 : 38,261 = 38,261 : x
  2. Step 2: Convert to fraction form
    24,739/38,261 = 38,261/x
  3. Step 3: Cross multiply
    24,739x = 38,261 × 38,261
  4. Step 4: Simplify right side
    24,739x = 1,463,904,121
  5. Step 5: Solve for x
    x = 1,463,904,121/24,739
  6. Step 6: Final answer
    x = 59,173.94

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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.