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Finding the Third Proportional to 31.75 and 36.13

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Solution

The third proportional to 31.75 and 36.13 is: 41.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.75 : 36.13 = 36.13 : x
  2. Step 2: Convert to fraction form
    31.75/36.13 = 36.13/x
  3. Step 3: Cross multiply
    31.75x = 36.13 × 36.13
  4. Step 4: Simplify right side
    31.75x = 1,305.02
  5. Step 5: Solve for x
    x = 1,305.02/31.75
  6. Step 6: Final answer
    x = 41.10

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.