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Finding the Third Proportional to 5,446.14 and 5,651.17

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Solution

The third proportional to 5,446.14 and 5,651.17 is: 5,863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.14 : 5,651.17 = 5,651.17 : x
  2. Step 2: Convert to fraction form
    5,446.14/5,651.17 = 5,651.17/x
  3. Step 3: Cross multiply
    5,446.14x = 5,651.17 × 5,651.17
  4. Step 4: Simplify right side
    5,446.14x = 31,935,765.64
  5. Step 5: Solve for x
    x = 31,935,765.64/5,446.14
  6. Step 6: Final answer
    x = 5,863.92

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.