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Finding the Third Proportional to 6,780 and 15,738

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Solution

The third proportional to 6,780 and 15,738 is: 36,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780 : 15,738 = 15,738 : x
  2. Step 2: Convert to fraction form
    6,780/15,738 = 15,738/x
  3. Step 3: Cross multiply
    6,780x = 15,738 × 15,738
  4. Step 4: Simplify right side
    6,780x = 247,684,644
  5. Step 5: Solve for x
    x = 247,684,644/6,780
  6. Step 6: Final answer
    x = 36,531.66

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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.