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Finding the Third Proportional to 62.84 and 83.17

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Solution

The third proportional to 62.84 and 83.17 is: 110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.84 : 83.17 = 83.17 : x
  2. Step 2: Convert to fraction form
    62.84/83.17 = 83.17/x
  3. Step 3: Cross multiply
    62.84x = 83.17 × 83.17
  4. Step 4: Simplify right side
    62.84x = 6,917.56
  5. Step 5: Solve for x
    x = 6,917.56/62.84
  6. Step 6: Final answer
    x = 110.08

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.