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Finding the Third Proportional to 1,947.38 and 4,110.75

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Solution

The third proportional to 1,947.38 and 4,110.75 is: 8,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.38 : 4,110.75 = 4,110.75 : x
  2. Step 2: Convert to fraction form
    1,947.38/4,110.75 = 4,110.75/x
  3. Step 3: Cross multiply
    1,947.38x = 4,110.75 × 4,110.75
  4. Step 4: Simplify right side
    1,947.38x = 16,898,265.56
  5. Step 5: Solve for x
    x = 16,898,265.56/1,947.38
  6. Step 6: Final answer
    x = 8,677.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.