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Finding the Third Proportional to 2,826.30 and 6,216.43

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Solution

The third proportional to 2,826.30 and 6,216.43 is: 13,673.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.30 : 6,216.43 = 6,216.43 : x
  2. Step 2: Convert to fraction form
    2,826.30/6,216.43 = 6,216.43/x
  3. Step 3: Cross multiply
    2,826.30x = 6,216.43 × 6,216.43
  4. Step 4: Simplify right side
    2,826.30x = 38,644,046.63
  5. Step 5: Solve for x
    x = 38,644,046.63/2,826.30
  6. Step 6: Final answer
    x = 13,673.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.