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Finding the Third Proportional to 6,180 and 8,062

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Solution

The third proportional to 6,180 and 8,062 is: 10,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180 : 8,062 = 8,062 : x
  2. Step 2: Convert to fraction form
    6,180/8,062 = 8,062/x
  3. Step 3: Cross multiply
    6,180x = 8,062 × 8,062
  4. Step 4: Simplify right side
    6,180x = 64,995,844
  5. Step 5: Solve for x
    x = 64,995,844/6,180
  6. Step 6: Final answer
    x = 10,517.13

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.