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Finding the Third Proportional to 2,799 and 5,885.44

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Solution

The third proportional to 2,799 and 5,885.44 is: 12,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799 : 5,885.44 = 5,885.44 : x
  2. Step 2: Convert to fraction form
    2,799/5,885.44 = 5,885.44/x
  3. Step 3: Cross multiply
    2,799x = 5,885.44 × 5,885.44
  4. Step 4: Simplify right side
    2,799x = 34,638,374.57
  5. Step 5: Solve for x
    x = 34,638,374.57/2,799
  6. Step 6: Final answer
    x = 12,375.27

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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.