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Finding the Third Proportional to 2,273.50 and 4,947.45

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Solution

The third proportional to 2,273.50 and 4,947.45 is: 10,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.50 : 4,947.45 = 4,947.45 : x
  2. Step 2: Convert to fraction form
    2,273.50/4,947.45 = 4,947.45/x
  3. Step 3: Cross multiply
    2,273.50x = 4,947.45 × 4,947.45
  4. Step 4: Simplify right side
    2,273.50x = 24,477,229.61
  5. Step 5: Solve for x
    x = 24,477,229.61/2,273.50
  6. Step 6: Final answer
    x = 10,766.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.