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Finding the Third Proportional to 6,837 and 7,746

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Solution

The third proportional to 6,837 and 7,746 is: 8,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837 : 7,746 = 7,746 : x
  2. Step 2: Convert to fraction form
    6,837/7,746 = 7,746/x
  3. Step 3: Cross multiply
    6,837x = 7,746 × 7,746
  4. Step 4: Simplify right side
    6,837x = 60,000,516
  5. Step 5: Solve for x
    x = 60,000,516/6,837
  6. Step 6: Final answer
    x = 8,775.85

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.