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Finding the Third Proportional to 789.19 and 2,026.13

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Solution

The third proportional to 789.19 and 2,026.13 is: 5,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.19 : 2,026.13 = 2,026.13 : x
  2. Step 2: Convert to fraction form
    789.19/2,026.13 = 2,026.13/x
  3. Step 3: Cross multiply
    789.19x = 2,026.13 × 2,026.13
  4. Step 4: Simplify right side
    789.19x = 4,105,182.52
  5. Step 5: Solve for x
    x = 4,105,182.52/789.19
  6. Step 6: Final answer
    x = 5,201.78

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.