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Finding the Third Proportional to 1,224.49 and 1,947.80

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Solution

The third proportional to 1,224.49 and 1,947.80 is: 3,098.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.49 : 1,947.80 = 1,947.80 : x
  2. Step 2: Convert to fraction form
    1,224.49/1,947.80 = 1,947.80/x
  3. Step 3: Cross multiply
    1,224.49x = 1,947.80 × 1,947.80
  4. Step 4: Simplify right side
    1,224.49x = 3,793,912.67
  5. Step 5: Solve for x
    x = 3,793,912.67/1,224.49
  6. Step 6: Final answer
    x = 3,098.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.