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Finding the Third Proportional to 5,416 and 11,651

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Solution

The third proportional to 5,416 and 11,651 is: 25,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416 : 11,651 = 11,651 : x
  2. Step 2: Convert to fraction form
    5,416/11,651 = 11,651/x
  3. Step 3: Cross multiply
    5,416x = 11,651 × 11,651
  4. Step 4: Simplify right side
    5,416x = 135,745,801
  5. Step 5: Solve for x
    x = 135,745,801/5,416
  6. Step 6: Final answer
    x = 25,063.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.