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Finding the Third Proportional to 3,497.25 and 7,770.75

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Solution

The third proportional to 3,497.25 and 7,770.75 is: 17,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.25 : 7,770.75 = 7,770.75 : x
  2. Step 2: Convert to fraction form
    3,497.25/7,770.75 = 7,770.75/x
  3. Step 3: Cross multiply
    3,497.25x = 7,770.75 × 7,770.75
  4. Step 4: Simplify right side
    3,497.25x = 60,384,555.56
  5. Step 5: Solve for x
    x = 60,384,555.56/3,497.25
  6. Step 6: Final answer
    x = 17,266.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.