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Finding the Third Proportional to 12,324 and 29,757

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Solution

The third proportional to 12,324 and 29,757 is: 71,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324 : 29,757 = 29,757 : x
  2. Step 2: Convert to fraction form
    12,324/29,757 = 29,757/x
  3. Step 3: Cross multiply
    12,324x = 29,757 × 29,757
  4. Step 4: Simplify right side
    12,324x = 885,479,049
  5. Step 5: Solve for x
    x = 885,479,049/12,324
  6. Step 6: Final answer
    x = 71,849.97

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.