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Finding the Third Proportional to 5,510.93 and 8,278.85

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Solution

The third proportional to 5,510.93 and 8,278.85 is: 12,436.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.93 : 8,278.85 = 8,278.85 : x
  2. Step 2: Convert to fraction form
    5,510.93/8,278.85 = 8,278.85/x
  3. Step 3: Cross multiply
    5,510.93x = 8,278.85 × 8,278.85
  4. Step 4: Simplify right side
    5,510.93x = 68,539,334.69
  5. Step 5: Solve for x
    x = 68,539,334.69/5,510.93
  6. Step 6: Final answer
    x = 12,436.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.