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Finding the Third Proportional to 5,981.91 and 8,757.56

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Solution

The third proportional to 5,981.91 and 8,757.56 is: 12,821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.91 : 8,757.56 = 8,757.56 : x
  2. Step 2: Convert to fraction form
    5,981.91/8,757.56 = 8,757.56/x
  3. Step 3: Cross multiply
    5,981.91x = 8,757.56 × 8,757.56
  4. Step 4: Simplify right side
    5,981.91x = 76,694,900.94
  5. Step 5: Solve for x
    x = 76,694,900.94/5,981.91
  6. Step 6: Final answer
    x = 12,821.15

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.