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Finding the Third Proportional to 5,074.52 and 6,689.14

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Solution

The third proportional to 5,074.52 and 6,689.14 is: 8,817.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.52 : 6,689.14 = 6,689.14 : x
  2. Step 2: Convert to fraction form
    5,074.52/6,689.14 = 6,689.14/x
  3. Step 3: Cross multiply
    5,074.52x = 6,689.14 × 6,689.14
  4. Step 4: Simplify right side
    5,074.52x = 44,744,654.56
  5. Step 5: Solve for x
    x = 44,744,654.56/5,074.52
  6. Step 6: Final answer
    x = 8,817.51

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.