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Finding the Third Proportional to 11,524 and 25,134

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Solution

The third proportional to 11,524 and 25,134 is: 54,817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524 : 25,134 = 25,134 : x
  2. Step 2: Convert to fraction form
    11,524/25,134 = 25,134/x
  3. Step 3: Cross multiply
    11,524x = 25,134 × 25,134
  4. Step 4: Simplify right side
    11,524x = 631,717,956
  5. Step 5: Solve for x
    x = 631,717,956/11,524
  6. Step 6: Final answer
    x = 54,817.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.