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Finding the Third Proportional to 49.66 and 75.55

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Solution

The third proportional to 49.66 and 75.55 is: 114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.66 : 75.55 = 75.55 : x
  2. Step 2: Convert to fraction form
    49.66/75.55 = 75.55/x
  3. Step 3: Cross multiply
    49.66x = 75.55 × 75.55
  4. Step 4: Simplify right side
    49.66x = 5,708.09
  5. Step 5: Solve for x
    x = 5,708.09/49.66
  6. Step 6: Final answer
    x = 114.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.