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Finding the Third Proportional to 3,778 and 5,495

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Solution

The third proportional to 3,778 and 5,495 is: 7,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778 : 5,495 = 5,495 : x
  2. Step 2: Convert to fraction form
    3,778/5,495 = 5,495/x
  3. Step 3: Cross multiply
    3,778x = 5,495 × 5,495
  4. Step 4: Simplify right side
    3,778x = 30,195,025
  5. Step 5: Solve for x
    x = 30,195,025/3,778
  6. Step 6: Final answer
    x = 7,992.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.