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Finding the Third Proportional to 6,197 and 9,131

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Solution

The third proportional to 6,197 and 9,131 is: 13,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197 : 9,131 = 9,131 : x
  2. Step 2: Convert to fraction form
    6,197/9,131 = 9,131/x
  3. Step 3: Cross multiply
    6,197x = 9,131 × 9,131
  4. Step 4: Simplify right side
    6,197x = 83,375,161
  5. Step 5: Solve for x
    x = 83,375,161/6,197
  6. Step 6: Final answer
    x = 13,454.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.