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Finding the Third Proportional to 24,491 and 53,422

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Solution

The third proportional to 24,491 and 53,422 is: 116,528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,491 : 53,422 = 53,422 : x
  2. Step 2: Convert to fraction form
    24,491/53,422 = 53,422/x
  3. Step 3: Cross multiply
    24,491x = 53,422 × 53,422
  4. Step 4: Simplify right side
    24,491x = 2,853,910,084
  5. Step 5: Solve for x
    x = 2,853,910,084/24,491
  6. Step 6: Final answer
    x = 116,528.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.