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Finding the Third Proportional to 31.55 and 68.95

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Solution

The third proportional to 31.55 and 68.95 is: 150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.55 : 68.95 = 68.95 : x
  2. Step 2: Convert to fraction form
    31.55/68.95 = 68.95/x
  3. Step 3: Cross multiply
    31.55x = 68.95 × 68.95
  4. Step 4: Simplify right side
    31.55x = 4,754.53
  5. Step 5: Solve for x
    x = 4,754.53/31.55
  6. Step 6: Final answer
    x = 150.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.