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Finding the Third Proportional to 11,063 and 24,314

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Solution

The third proportional to 11,063 and 24,314 is: 53,436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,063 : 24,314 = 24,314 : x
  2. Step 2: Convert to fraction form
    11,063/24,314 = 24,314/x
  3. Step 3: Cross multiply
    11,063x = 24,314 × 24,314
  4. Step 4: Simplify right side
    11,063x = 591,170,596
  5. Step 5: Solve for x
    x = 591,170,596/11,063
  6. Step 6: Final answer
    x = 53,436.73

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Why These Related Problems?

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