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Finding the Third Proportional to 41.25 and 62.98

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Solution

The third proportional to 41.25 and 62.98 is: 96.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.25 : 62.98 = 62.98 : x
  2. Step 2: Convert to fraction form
    41.25/62.98 = 62.98/x
  3. Step 3: Cross multiply
    41.25x = 62.98 × 62.98
  4. Step 4: Simplify right side
    41.25x = 3,966.05
  5. Step 5: Solve for x
    x = 3,966.05/41.25
  6. Step 6: Final answer
    x = 96.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.