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Finding the Third Proportional to 13 and 31

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Solution

The third proportional to 13 and 31 is: 73.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13 : 31 = 31 : x
  2. Step 2: Convert to fraction form
    13/31 = 31/x
  3. Step 3: Cross multiply
    13x = 31 × 31
  4. Step 4: Simplify right side
    13x = 961
  5. Step 5: Solve for x
    x = 961/13
  6. Step 6: Final answer
    x = 73.92

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.