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Finding the Third Proportional to 50.72 and 76.52

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Solution

The third proportional to 50.72 and 76.52 is: 115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.72 : 76.52 = 76.52 : x
  2. Step 2: Convert to fraction form
    50.72/76.52 = 76.52/x
  3. Step 3: Cross multiply
    50.72x = 76.52 × 76.52
  4. Step 4: Simplify right side
    50.72x = 5,855.84
  5. Step 5: Solve for x
    x = 5,855.84/50.72
  6. Step 6: Final answer
    x = 115.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.