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Finding the Third Proportional to 2,766 and 6,597

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Solution

The third proportional to 2,766 and 6,597 is: 15,734.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766 : 6,597 = 6,597 : x
  2. Step 2: Convert to fraction form
    2,766/6,597 = 6,597/x
  3. Step 3: Cross multiply
    2,766x = 6,597 × 6,597
  4. Step 4: Simplify right side
    2,766x = 43,520,409
  5. Step 5: Solve for x
    x = 43,520,409/2,766
  6. Step 6: Final answer
    x = 15,734.06

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.