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Finding the Third Proportional to 24,512 and 53,691

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Solution

The third proportional to 24,512 and 53,691 is: 117,604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512 : 53,691 = 53,691 : x
  2. Step 2: Convert to fraction form
    24,512/53,691 = 53,691/x
  3. Step 3: Cross multiply
    24,512x = 53,691 × 53,691
  4. Step 4: Simplify right side
    24,512x = 2,882,723,481
  5. Step 5: Solve for x
    x = 2,882,723,481/24,512
  6. Step 6: Final answer
    x = 117,604.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.