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Finding the Third Proportional to 4,042 and 5,531

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Solution

The third proportional to 4,042 and 5,531 is: 7,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042 : 5,531 = 5,531 : x
  2. Step 2: Convert to fraction form
    4,042/5,531 = 5,531/x
  3. Step 3: Cross multiply
    4,042x = 5,531 × 5,531
  4. Step 4: Simplify right side
    4,042x = 30,591,961
  5. Step 5: Solve for x
    x = 30,591,961/4,042
  6. Step 6: Final answer
    x = 7,568.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.