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Finding the Third Proportional to 3,542 and 5,045

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Solution

The third proportional to 3,542 and 5,045 is: 7,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542 : 5,045 = 5,045 : x
  2. Step 2: Convert to fraction form
    3,542/5,045 = 5,045/x
  3. Step 3: Cross multiply
    3,542x = 5,045 × 5,045
  4. Step 4: Simplify right side
    3,542x = 25,452,025
  5. Step 5: Solve for x
    x = 25,452,025/3,542
  6. Step 6: Final answer
    x = 7,185.78

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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.