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Finding the Third Proportional to 6,778 and 10,186

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Solution

The third proportional to 6,778 and 10,186 is: 15,307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778 : 10,186 = 10,186 : x
  2. Step 2: Convert to fraction form
    6,778/10,186 = 10,186/x
  3. Step 3: Cross multiply
    6,778x = 10,186 × 10,186
  4. Step 4: Simplify right side
    6,778x = 103,754,596
  5. Step 5: Solve for x
    x = 103,754,596/6,778
  6. Step 6: Final answer
    x = 15,307.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.