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Finding the Third Proportional to 5,452.31 and 8,176.57

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Solution

The third proportional to 5,452.31 and 8,176.57 is: 12,262.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.31 : 8,176.57 = 8,176.57 : x
  2. Step 2: Convert to fraction form
    5,452.31/8,176.57 = 8,176.57/x
  3. Step 3: Cross multiply
    5,452.31x = 8,176.57 × 8,176.57
  4. Step 4: Simplify right side
    5,452.31x = 66,856,302.08
  5. Step 5: Solve for x
    x = 66,856,302.08/5,452.31
  6. Step 6: Final answer
    x = 12,262.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.