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Finding the Third Proportional to 5,892 and 6,756

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Solution

The third proportional to 5,892 and 6,756 is: 7,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892 : 6,756 = 6,756 : x
  2. Step 2: Convert to fraction form
    5,892/6,756 = 6,756/x
  3. Step 3: Cross multiply
    5,892x = 6,756 × 6,756
  4. Step 4: Simplify right side
    5,892x = 45,643,536
  5. Step 5: Solve for x
    x = 45,643,536/5,892
  6. Step 6: Final answer
    x = 7,746.70

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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.