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Finding the Third Proportional to 16,466 and 24,267

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Solution

The third proportional to 16,466 and 24,267 is: 35,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466 : 24,267 = 24,267 : x
  2. Step 2: Convert to fraction form
    16,466/24,267 = 24,267/x
  3. Step 3: Cross multiply
    16,466x = 24,267 × 24,267
  4. Step 4: Simplify right side
    16,466x = 588,887,289
  5. Step 5: Solve for x
    x = 588,887,289/16,466
  6. Step 6: Final answer
    x = 35,763.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.