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Finding the Third Proportional to 11,614 and 25,496

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Solution

The third proportional to 11,614 and 25,496 is: 55,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614 : 25,496 = 25,496 : x
  2. Step 2: Convert to fraction form
    11,614/25,496 = 25,496/x
  3. Step 3: Cross multiply
    11,614x = 25,496 × 25,496
  4. Step 4: Simplify right side
    11,614x = 650,046,016
  5. Step 5: Solve for x
    x = 650,046,016/11,614
  6. Step 6: Final answer
    x = 55,970.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.