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Finding the Third Proportional to 24,464 and 38,879

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Solution

The third proportional to 24,464 and 38,879 is: 61,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464 : 38,879 = 38,879 : x
  2. Step 2: Convert to fraction form
    24,464/38,879 = 38,879/x
  3. Step 3: Cross multiply
    24,464x = 38,879 × 38,879
  4. Step 4: Simplify right side
    24,464x = 1,511,576,641
  5. Step 5: Solve for x
    x = 1,511,576,641/24,464
  6. Step 6: Final answer
    x = 61,787.80

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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.