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Finding the Third Proportional to 31 and 59

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Solution

The third proportional to 31 and 59 is: 112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 59 = 59 : x
  2. Step 2: Convert to fraction form
    31/59 = 59/x
  3. Step 3: Cross multiply
    31x = 59 × 59
  4. Step 4: Simplify right side
    31x = 3,481
  5. Step 5: Solve for x
    x = 3,481/31
  6. Step 6: Final answer
    x = 112.29

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.