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Finding the Third Proportional to 2,712.94 and 5,947.03

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Solution

The third proportional to 2,712.94 and 5,947.03 is: 13,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.94 : 5,947.03 = 5,947.03 : x
  2. Step 2: Convert to fraction form
    2,712.94/5,947.03 = 5,947.03/x
  3. Step 3: Cross multiply
    2,712.94x = 5,947.03 × 5,947.03
  4. Step 4: Simplify right side
    2,712.94x = 35,367,180.69
  5. Step 5: Solve for x
    x = 35,367,180.69/2,712.94
  6. Step 6: Final answer
    x = 13,036.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.