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Finding the Third Proportional to 31 and 71

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Solution

The third proportional to 31 and 71 is: 162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 71 = 71 : x
  2. Step 2: Convert to fraction form
    31/71 = 71/x
  3. Step 3: Cross multiply
    31x = 71 × 71
  4. Step 4: Simplify right side
    31x = 5,041
  5. Step 5: Solve for x
    x = 5,041/31
  6. Step 6: Final answer
    x = 162.61

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.