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Finding the Third Proportional to 2,425.78 and 3,799.83

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Solution

The third proportional to 2,425.78 and 3,799.83 is: 5,952.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.78 : 3,799.83 = 3,799.83 : x
  2. Step 2: Convert to fraction form
    2,425.78/3,799.83 = 3,799.83/x
  3. Step 3: Cross multiply
    2,425.78x = 3,799.83 × 3,799.83
  4. Step 4: Simplify right side
    2,425.78x = 14,438,693.78
  5. Step 5: Solve for x
    x = 14,438,693.78/2,425.78
  6. Step 6: Final answer
    x = 5,952.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.