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Finding the Third Proportional to 1,778 and 2,767

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Solution

The third proportional to 1,778 and 2,767 is: 4,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778 : 2,767 = 2,767 : x
  2. Step 2: Convert to fraction form
    1,778/2,767 = 2,767/x
  3. Step 3: Cross multiply
    1,778x = 2,767 × 2,767
  4. Step 4: Simplify right side
    1,778x = 7,656,289
  5. Step 5: Solve for x
    x = 7,656,289/1,778
  6. Step 6: Final answer
    x = 4,306.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.