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Finding the Third Proportional to 1,738.97 and 4,723.31

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Solution

The third proportional to 1,738.97 and 4,723.31 is: 12,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.97 : 4,723.31 = 4,723.31 : x
  2. Step 2: Convert to fraction form
    1,738.97/4,723.31 = 4,723.31/x
  3. Step 3: Cross multiply
    1,738.97x = 4,723.31 × 4,723.31
  4. Step 4: Simplify right side
    1,738.97x = 22,309,680.97
  5. Step 5: Solve for x
    x = 22,309,680.97/1,738.97
  6. Step 6: Final answer
    x = 12,829.26

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.