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Finding the Third Proportional to 34,758 and 70,744

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Solution

The third proportional to 34,758 and 70,744 is: 143,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,758 : 70,744 = 70,744 : x
  2. Step 2: Convert to fraction form
    34,758/70,744 = 70,744/x
  3. Step 3: Cross multiply
    34,758x = 70,744 × 70,744
  4. Step 4: Simplify right side
    34,758x = 5,004,713,536
  5. Step 5: Solve for x
    x = 5,004,713,536/34,758
  6. Step 6: Final answer
    x = 143,987.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.