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Finding the Third Proportional to 1,947.38 and 3,020.34

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Solution

The third proportional to 1,947.38 and 3,020.34 is: 4,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.38 : 3,020.34 = 3,020.34 : x
  2. Step 2: Convert to fraction form
    1,947.38/3,020.34 = 3,020.34/x
  3. Step 3: Cross multiply
    1,947.38x = 3,020.34 × 3,020.34
  4. Step 4: Simplify right side
    1,947.38x = 9,122,476.37
  5. Step 5: Solve for x
    x = 9,122,476.37/1,947.38
  6. Step 6: Final answer
    x = 4,684.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.