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Finding the Third Proportional to 6,127 and 6,759

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Solution

The third proportional to 6,127 and 6,759 is: 7,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127 : 6,759 = 6,759 : x
  2. Step 2: Convert to fraction form
    6,127/6,759 = 6,759/x
  3. Step 3: Cross multiply
    6,127x = 6,759 × 6,759
  4. Step 4: Simplify right side
    6,127x = 45,684,081
  5. Step 5: Solve for x
    x = 45,684,081/6,127
  6. Step 6: Final answer
    x = 7,456.19

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.