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Finding the Third Proportional to 6,724 and 8,132

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Solution

The third proportional to 6,724 and 8,132 is: 9,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724 : 8,132 = 8,132 : x
  2. Step 2: Convert to fraction form
    6,724/8,132 = 8,132/x
  3. Step 3: Cross multiply
    6,724x = 8,132 × 8,132
  4. Step 4: Simplify right side
    6,724x = 66,129,424
  5. Step 5: Solve for x
    x = 66,129,424/6,724
  6. Step 6: Final answer
    x = 9,834.83

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.