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Finding the Third Proportional to 3,086.86 and 4,910.78

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Solution

The third proportional to 3,086.86 and 4,910.78 is: 7,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.86 : 4,910.78 = 4,910.78 : x
  2. Step 2: Convert to fraction form
    3,086.86/4,910.78 = 4,910.78/x
  3. Step 3: Cross multiply
    3,086.86x = 4,910.78 × 4,910.78
  4. Step 4: Simplify right side
    3,086.86x = 24,115,791.67
  5. Step 5: Solve for x
    x = 24,115,791.67/3,086.86
  6. Step 6: Final answer
    x = 7,812.40

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.