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Finding the Third Proportional to 1,947.16 and 4,171.18

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Solution

The third proportional to 1,947.16 and 4,171.18 is: 8,935.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.16 : 4,171.18 = 4,171.18 : x
  2. Step 2: Convert to fraction form
    1,947.16/4,171.18 = 4,171.18/x
  3. Step 3: Cross multiply
    1,947.16x = 4,171.18 × 4,171.18
  4. Step 4: Simplify right side
    1,947.16x = 17,398,772.57
  5. Step 5: Solve for x
    x = 17,398,772.57/1,947.16
  6. Step 6: Final answer
    x = 8,935.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.