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Finding the Third Proportional to 5,292.84 and 6,147.14

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Solution

The third proportional to 5,292.84 and 6,147.14 is: 7,139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.84 : 6,147.14 = 6,147.14 : x
  2. Step 2: Convert to fraction form
    5,292.84/6,147.14 = 6,147.14/x
  3. Step 3: Cross multiply
    5,292.84x = 6,147.14 × 6,147.14
  4. Step 4: Simplify right side
    5,292.84x = 37,787,337.86
  5. Step 5: Solve for x
    x = 37,787,337.86/5,292.84
  6. Step 6: Final answer
    x = 7,139.33

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.