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Finding the Third Proportional to 24,656 and 38,930

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Solution

The third proportional to 24,656 and 38,930 is: 61,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,656 : 38,930 = 38,930 : x
  2. Step 2: Convert to fraction form
    24,656/38,930 = 38,930/x
  3. Step 3: Cross multiply
    24,656x = 38,930 × 38,930
  4. Step 4: Simplify right side
    24,656x = 1,515,544,900
  5. Step 5: Solve for x
    x = 1,515,544,900/24,656
  6. Step 6: Final answer
    x = 61,467.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.