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Finding the Third Proportional to 1,862.72 and 3,947.48

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Solution

The third proportional to 1,862.72 and 3,947.48 is: 8,365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.72 : 3,947.48 = 3,947.48 : x
  2. Step 2: Convert to fraction form
    1,862.72/3,947.48 = 3,947.48/x
  3. Step 3: Cross multiply
    1,862.72x = 3,947.48 × 3,947.48
  4. Step 4: Simplify right side
    1,862.72x = 15,582,632.89
  5. Step 5: Solve for x
    x = 15,582,632.89/1,862.72
  6. Step 6: Final answer
    x = 8,365.53

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.