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Finding the Third Proportional to 2,766.66 and 4,043.67

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Solution

The third proportional to 2,766.66 and 4,043.67 is: 5,910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.66 : 4,043.67 = 4,043.67 : x
  2. Step 2: Convert to fraction form
    2,766.66/4,043.67 = 4,043.67/x
  3. Step 3: Cross multiply
    2,766.66x = 4,043.67 × 4,043.67
  4. Step 4: Simplify right side
    2,766.66x = 16,351,282.23
  5. Step 5: Solve for x
    x = 16,351,282.23/2,766.66
  6. Step 6: Final answer
    x = 5,910.12

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Why These Related Problems?

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