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Finding the Third Proportional to 2,989.13 and 4,078.69

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Solution

The third proportional to 2,989.13 and 4,078.69 is: 5,565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.13 : 4,078.69 = 4,078.69 : x
  2. Step 2: Convert to fraction form
    2,989.13/4,078.69 = 4,078.69/x
  3. Step 3: Cross multiply
    2,989.13x = 4,078.69 × 4,078.69
  4. Step 4: Simplify right side
    2,989.13x = 16,635,691.72
  5. Step 5: Solve for x
    x = 16,635,691.72/2,989.13
  6. Step 6: Final answer
    x = 5,565.41

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.