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Finding the Third Proportional to 24,717 and 51,482

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Solution

The third proportional to 24,717 and 51,482 is: 107,229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,717 : 51,482 = 51,482 : x
  2. Step 2: Convert to fraction form
    24,717/51,482 = 51,482/x
  3. Step 3: Cross multiply
    24,717x = 51,482 × 51,482
  4. Step 4: Simplify right side
    24,717x = 2,650,396,324
  5. Step 5: Solve for x
    x = 2,650,396,324/24,717
  6. Step 6: Final answer
    x = 107,229.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.