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Finding the Third Proportional to 6,114 and 7,659

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Solution

The third proportional to 6,114 and 7,659 is: 9,594.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114 : 7,659 = 7,659 : x
  2. Step 2: Convert to fraction form
    6,114/7,659 = 7,659/x
  3. Step 3: Cross multiply
    6,114x = 7,659 × 7,659
  4. Step 4: Simplify right side
    6,114x = 58,660,281
  5. Step 5: Solve for x
    x = 58,660,281/6,114
  6. Step 6: Final answer
    x = 9,594.42

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.