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Finding the Third Proportional to 6,158 and 6,941

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Solution

The third proportional to 6,158 and 6,941 is: 7,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158 : 6,941 = 6,941 : x
  2. Step 2: Convert to fraction form
    6,158/6,941 = 6,941/x
  3. Step 3: Cross multiply
    6,158x = 6,941 × 6,941
  4. Step 4: Simplify right side
    6,158x = 48,177,481
  5. Step 5: Solve for x
    x = 48,177,481/6,158
  6. Step 6: Final answer
    x = 7,823.56

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.