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Finding the Third Proportional to 2,799.92 and 4,221.49

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Solution

The third proportional to 2,799.92 and 4,221.49 is: 6,364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.92 : 4,221.49 = 4,221.49 : x
  2. Step 2: Convert to fraction form
    2,799.92/4,221.49 = 4,221.49/x
  3. Step 3: Cross multiply
    2,799.92x = 4,221.49 × 4,221.49
  4. Step 4: Simplify right side
    2,799.92x = 17,820,996.29
  5. Step 5: Solve for x
    x = 17,820,996.29/2,799.92
  6. Step 6: Final answer
    x = 6,364.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.