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Finding the Third Proportional to 5,197 and 7,775

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Solution

The third proportional to 5,197 and 7,775 is: 11,631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197 : 7,775 = 7,775 : x
  2. Step 2: Convert to fraction form
    5,197/7,775 = 7,775/x
  3. Step 3: Cross multiply
    5,197x = 7,775 × 7,775
  4. Step 4: Simplify right side
    5,197x = 60,450,625
  5. Step 5: Solve for x
    x = 60,450,625/5,197
  6. Step 6: Final answer
    x = 11,631.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.