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Finding the Third Proportional to 24,832 and 53,552

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Solution

The third proportional to 24,832 and 53,552 is: 115,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,832 : 53,552 = 53,552 : x
  2. Step 2: Convert to fraction form
    24,832/53,552 = 53,552/x
  3. Step 3: Cross multiply
    24,832x = 53,552 × 53,552
  4. Step 4: Simplify right side
    24,832x = 2,867,816,704
  5. Step 5: Solve for x
    x = 2,867,816,704/24,832
  6. Step 6: Final answer
    x = 115,488.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.