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Finding the Third Proportional to 50.56 and 82.88

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Solution

The third proportional to 50.56 and 82.88 is: 135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.56 : 82.88 = 82.88 : x
  2. Step 2: Convert to fraction form
    50.56/82.88 = 82.88/x
  3. Step 3: Cross multiply
    50.56x = 82.88 × 82.88
  4. Step 4: Simplify right side
    50.56x = 6,868.27
  5. Step 5: Solve for x
    x = 6,868.27/50.56
  6. Step 6: Final answer
    x = 135.84

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.