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Finding the Third Proportional to 11,549 and 24,259

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Solution

The third proportional to 11,549 and 24,259 is: 50,956.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549 : 24,259 = 24,259 : x
  2. Step 2: Convert to fraction form
    11,549/24,259 = 24,259/x
  3. Step 3: Cross multiply
    11,549x = 24,259 × 24,259
  4. Step 4: Simplify right side
    11,549x = 588,499,081
  5. Step 5: Solve for x
    x = 588,499,081/11,549
  6. Step 6: Final answer
    x = 50,956.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.