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Finding the Third Proportional to 24,663 and 38,647

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Solution

The third proportional to 24,663 and 38,647 is: 60,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,663 : 38,647 = 38,647 : x
  2. Step 2: Convert to fraction form
    24,663/38,647 = 38,647/x
  3. Step 3: Cross multiply
    24,663x = 38,647 × 38,647
  4. Step 4: Simplify right side
    24,663x = 1,493,590,609
  5. Step 5: Solve for x
    x = 1,493,590,609/24,663
  6. Step 6: Final answer
    x = 60,559.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.