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Finding the Third Proportional to 3,132.42 and 4,391.09

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Solution

The third proportional to 3,132.42 and 4,391.09 is: 6,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.42 : 4,391.09 = 4,391.09 : x
  2. Step 2: Convert to fraction form
    3,132.42/4,391.09 = 4,391.09/x
  3. Step 3: Cross multiply
    3,132.42x = 4,391.09 × 4,391.09
  4. Step 4: Simplify right side
    3,132.42x = 19,281,635.71
  5. Step 5: Solve for x
    x = 19,281,635.71/3,132.42
  6. Step 6: Final answer
    x = 6,155.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.