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Finding the Third Proportional to 24,758 and 38,656

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Solution

The third proportional to 24,758 and 38,656 is: 60,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758 : 38,656 = 38,656 : x
  2. Step 2: Convert to fraction form
    24,758/38,656 = 38,656/x
  3. Step 3: Cross multiply
    24,758x = 38,656 × 38,656
  4. Step 4: Simplify right side
    24,758x = 1,494,286,336
  5. Step 5: Solve for x
    x = 1,494,286,336/24,758
  6. Step 6: Final answer
    x = 60,355.70

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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.