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Finding the Third Proportional to 10,614 and 11,538

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Solution

The third proportional to 10,614 and 11,538 is: 12,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614 : 11,538 = 11,538 : x
  2. Step 2: Convert to fraction form
    10,614/11,538 = 11,538/x
  3. Step 3: Cross multiply
    10,614x = 11,538 × 11,538
  4. Step 4: Simplify right side
    10,614x = 133,125,444
  5. Step 5: Solve for x
    x = 133,125,444/10,614
  6. Step 6: Final answer
    x = 12,542.44

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.