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Finding the Third Proportional to 2,738.81 and 4,291.73

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Solution

The third proportional to 2,738.81 and 4,291.73 is: 6,725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.81 : 4,291.73 = 4,291.73 : x
  2. Step 2: Convert to fraction form
    2,738.81/4,291.73 = 4,291.73/x
  3. Step 3: Cross multiply
    2,738.81x = 4,291.73 × 4,291.73
  4. Step 4: Simplify right side
    2,738.81x = 18,418,983.95
  5. Step 5: Solve for x
    x = 18,418,983.95/2,738.81
  6. Step 6: Final answer
    x = 6,725.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.