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Finding the Third Proportional to 6,165 and 6,741

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Solution

The third proportional to 6,165 and 6,741 is: 7,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165 : 6,741 = 6,741 : x
  2. Step 2: Convert to fraction form
    6,165/6,741 = 6,741/x
  3. Step 3: Cross multiply
    6,165x = 6,741 × 6,741
  4. Step 4: Simplify right side
    6,165x = 45,441,081
  5. Step 5: Solve for x
    x = 45,441,081/6,165
  6. Step 6: Final answer
    x = 7,370.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.