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Finding the Third Proportional to 5,823 and 6,687

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Solution

The third proportional to 5,823 and 6,687 is: 7,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823 : 6,687 = 6,687 : x
  2. Step 2: Convert to fraction form
    5,823/6,687 = 6,687/x
  3. Step 3: Cross multiply
    5,823x = 6,687 × 6,687
  4. Step 4: Simplify right side
    5,823x = 44,715,969
  5. Step 5: Solve for x
    x = 44,715,969/5,823
  6. Step 6: Final answer
    x = 7,679.20

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.