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Finding the Third Proportional to 4,321.97 and 6,522.68

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Solution

The third proportional to 4,321.97 and 6,522.68 is: 9,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.97 : 6,522.68 = 6,522.68 : x
  2. Step 2: Convert to fraction form
    4,321.97/6,522.68 = 6,522.68/x
  3. Step 3: Cross multiply
    4,321.97x = 6,522.68 × 6,522.68
  4. Step 4: Simplify right side
    4,321.97x = 42,545,350.31
  5. Step 5: Solve for x
    x = 42,545,350.31/4,321.97
  6. Step 6: Final answer
    x = 9,843.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.