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Finding the Third Proportional to 11,614 and 24,727

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Solution

The third proportional to 11,614 and 24,727 is: 52,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614 : 24,727 = 24,727 : x
  2. Step 2: Convert to fraction form
    11,614/24,727 = 24,727/x
  3. Step 3: Cross multiply
    11,614x = 24,727 × 24,727
  4. Step 4: Simplify right side
    11,614x = 611,424,529
  5. Step 5: Solve for x
    x = 611,424,529/11,614
  6. Step 6: Final answer
    x = 52,645.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.