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Finding the Third Proportional to 1,947.80 and 3,682.97

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Solution

The third proportional to 1,947.80 and 3,682.97 is: 6,963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.80 : 3,682.97 = 3,682.97 : x
  2. Step 2: Convert to fraction form
    1,947.80/3,682.97 = 3,682.97/x
  3. Step 3: Cross multiply
    1,947.80x = 3,682.97 × 3,682.97
  4. Step 4: Simplify right side
    1,947.80x = 13,564,258.81
  5. Step 5: Solve for x
    x = 13,564,258.81/1,947.80
  6. Step 6: Final answer
    x = 6,963.90

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.