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Finding the Third Proportional to 6,778 and 15,676

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Solution

The third proportional to 6,778 and 15,676 is: 36,255.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778 : 15,676 = 15,676 : x
  2. Step 2: Convert to fraction form
    6,778/15,676 = 15,676/x
  3. Step 3: Cross multiply
    6,778x = 15,676 × 15,676
  4. Step 4: Simplify right side
    6,778x = 245,736,976
  5. Step 5: Solve for x
    x = 245,736,976/6,778
  6. Step 6: Final answer
    x = 36,255.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.