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Finding the Third Proportional to 4,042 and 5,311

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Solution

The third proportional to 4,042 and 5,311 is: 6,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042 : 5,311 = 5,311 : x
  2. Step 2: Convert to fraction form
    4,042/5,311 = 5,311/x
  3. Step 3: Cross multiply
    4,042x = 5,311 × 5,311
  4. Step 4: Simplify right side
    4,042x = 28,206,721
  5. Step 5: Solve for x
    x = 28,206,721/4,042
  6. Step 6: Final answer
    x = 6,978.41

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.