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Finding the Third Proportional to 2,778 and 5,829

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Solution

The third proportional to 2,778 and 5,829 is: 12,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778 : 5,829 = 5,829 : x
  2. Step 2: Convert to fraction form
    2,778/5,829 = 5,829/x
  3. Step 3: Cross multiply
    2,778x = 5,829 × 5,829
  4. Step 4: Simplify right side
    2,778x = 33,977,241
  5. Step 5: Solve for x
    x = 33,977,241/2,778
  6. Step 6: Final answer
    x = 12,230.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.