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Finding the Third Proportional to 3,770.25 and 7,641.75

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Solution

The third proportional to 3,770.25 and 7,641.75 is: 15,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.25 : 7,641.75 = 7,641.75 : x
  2. Step 2: Convert to fraction form
    3,770.25/7,641.75 = 7,641.75/x
  3. Step 3: Cross multiply
    3,770.25x = 7,641.75 × 7,641.75
  4. Step 4: Simplify right side
    3,770.25x = 58,396,343.06
  5. Step 5: Solve for x
    x = 58,396,343.06/3,770.25
  6. Step 6: Final answer
    x = 15,488.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.