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Finding the Third Proportional to 1,947.80 and 3,003.33

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Solution

The third proportional to 1,947.80 and 3,003.33 is: 4,630.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.80 : 3,003.33 = 3,003.33 : x
  2. Step 2: Convert to fraction form
    1,947.80/3,003.33 = 3,003.33/x
  3. Step 3: Cross multiply
    1,947.80x = 3,003.33 × 3,003.33
  4. Step 4: Simplify right side
    1,947.80x = 9,019,979.83
  5. Step 5: Solve for x
    x = 9,019,979.83/1,947.80
  6. Step 6: Final answer
    x = 4,630.86

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.