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Finding the Third Proportional to 6,770 and 15,734

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Solution

The third proportional to 6,770 and 15,734 is: 36,567.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770 : 15,734 = 15,734 : x
  2. Step 2: Convert to fraction form
    6,770/15,734 = 15,734/x
  3. Step 3: Cross multiply
    6,770x = 15,734 × 15,734
  4. Step 4: Simplify right side
    6,770x = 247,558,756
  5. Step 5: Solve for x
    x = 247,558,756/6,770
  6. Step 6: Final answer
    x = 36,567.02

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.