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Finding the Third Proportional to 31.75 and 64.75

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Solution

The third proportional to 31.75 and 64.75 is: 132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.75 : 64.75 = 64.75 : x
  2. Step 2: Convert to fraction form
    31.75/64.75 = 64.75/x
  3. Step 3: Cross multiply
    31.75x = 64.75 × 64.75
  4. Step 4: Simplify right side
    31.75x = 4,192.56
  5. Step 5: Solve for x
    x = 4,192.56/31.75
  6. Step 6: Final answer
    x = 132.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.