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Finding the Third Proportional to 49.60 and 75.46

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Solution

The third proportional to 49.60 and 75.46 is: 114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.60 : 75.46 = 75.46 : x
  2. Step 2: Convert to fraction form
    49.60/75.46 = 75.46/x
  3. Step 3: Cross multiply
    49.60x = 75.46 × 75.46
  4. Step 4: Simplify right side
    49.60x = 5,694.65
  5. Step 5: Solve for x
    x = 5,694.65/49.60
  6. Step 6: Final answer
    x = 114.82

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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.