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Finding the Third Proportional to 50.55 and 75.49

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Solution

The third proportional to 50.55 and 75.49 is: 112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.55 : 75.49 = 75.49 : x
  2. Step 2: Convert to fraction form
    50.55/75.49 = 75.49/x
  3. Step 3: Cross multiply
    50.55x = 75.49 × 75.49
  4. Step 4: Simplify right side
    50.55x = 5,699.07
  5. Step 5: Solve for x
    x = 5,699.07/50.55
  6. Step 6: Final answer
    x = 112.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.