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Finding the Third Proportional to 24,578 and 38,446

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Solution

The third proportional to 24,578 and 38,446 is: 60,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578 : 38,446 = 38,446 : x
  2. Step 2: Convert to fraction form
    24,578/38,446 = 38,446/x
  3. Step 3: Cross multiply
    24,578x = 38,446 × 38,446
  4. Step 4: Simplify right side
    24,578x = 1,478,094,916
  5. Step 5: Solve for x
    x = 1,478,094,916/24,578
  6. Step 6: Final answer
    x = 60,138.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.