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Finding the Third Proportional to 2,503.69 and 3,799.69

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Solution

The third proportional to 2,503.69 and 3,799.69 is: 5,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.69 : 3,799.69 = 3,799.69 : x
  2. Step 2: Convert to fraction form
    2,503.69/3,799.69 = 3,799.69/x
  3. Step 3: Cross multiply
    2,503.69x = 3,799.69 × 3,799.69
  4. Step 4: Simplify right side
    2,503.69x = 14,437,625.10
  5. Step 5: Solve for x
    x = 14,437,625.10/2,503.69
  6. Step 6: Final answer
    x = 5,766.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.