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Finding the Third Proportional to 49 and 82.88

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Solution

The third proportional to 49 and 82.88 is: 140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49 : 82.88 = 82.88 : x
  2. Step 2: Convert to fraction form
    49/82.88 = 82.88/x
  3. Step 3: Cross multiply
    49x = 82.88 × 82.88
  4. Step 4: Simplify right side
    49x = 6,868.27
  5. Step 5: Solve for x
    x = 6,868.27/49
  6. Step 6: Final answer
    x = 140.17

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.