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Finding the Third Proportional to 24,566 and 38,958

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Solution

The third proportional to 24,566 and 38,958 is: 61,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,566 : 38,958 = 38,958 : x
  2. Step 2: Convert to fraction form
    24,566/38,958 = 38,958/x
  3. Step 3: Cross multiply
    24,566x = 38,958 × 38,958
  4. Step 4: Simplify right side
    24,566x = 1,517,725,764
  5. Step 5: Solve for x
    x = 1,517,725,764/24,566
  6. Step 6: Final answer
    x = 61,781.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.