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Finding the Third Proportional to 62.50 and 82.25

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Solution

The third proportional to 62.50 and 82.25 is: 108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.50 : 82.25 = 82.25 : x
  2. Step 2: Convert to fraction form
    62.50/82.25 = 82.25/x
  3. Step 3: Cross multiply
    62.50x = 82.25 × 82.25
  4. Step 4: Simplify right side
    62.50x = 6,765.06
  5. Step 5: Solve for x
    x = 6,765.06/62.50
  6. Step 6: Final answer
    x = 108.24

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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.