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Finding the Third Proportional to 2,142 and 3,311

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Solution

The third proportional to 2,142 and 3,311 is: 5,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142 : 3,311 = 3,311 : x
  2. Step 2: Convert to fraction form
    2,142/3,311 = 3,311/x
  3. Step 3: Cross multiply
    2,142x = 3,311 × 3,311
  4. Step 4: Simplify right side
    2,142x = 10,962,721
  5. Step 5: Solve for x
    x = 10,962,721/2,142
  6. Step 6: Final answer
    x = 5,117.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.