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Finding the Third Proportional to 4,531.50 and 6,414.75

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Solution

The third proportional to 4,531.50 and 6,414.75 is: 9,080.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.50 : 6,414.75 = 6,414.75 : x
  2. Step 2: Convert to fraction form
    4,531.50/6,414.75 = 6,414.75/x
  3. Step 3: Cross multiply
    4,531.50x = 6,414.75 × 6,414.75
  4. Step 4: Simplify right side
    4,531.50x = 41,149,017.56
  5. Step 5: Solve for x
    x = 41,149,017.56/4,531.50
  6. Step 6: Final answer
    x = 9,080.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.