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Finding the Third Proportional to 6,770.25 and 9,230.63

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Solution

The third proportional to 6,770.25 and 9,230.63 is: 12,585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.25 : 9,230.63 = 9,230.63 : x
  2. Step 2: Convert to fraction form
    6,770.25/9,230.63 = 9,230.63/x
  3. Step 3: Cross multiply
    6,770.25x = 9,230.63 × 9,230.63
  4. Step 4: Simplify right side
    6,770.25x = 85,204,437.89
  5. Step 5: Solve for x
    x = 85,204,437.89/6,770.25
  6. Step 6: Final answer
    x = 12,585.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.