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Finding the Third Proportional to 33,754 and 69,669

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Solution

The third proportional to 33,754 and 69,669 is: 143,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,754 : 69,669 = 69,669 : x
  2. Step 2: Convert to fraction form
    33,754/69,669 = 69,669/x
  3. Step 3: Cross multiply
    33,754x = 69,669 × 69,669
  4. Step 4: Simplify right side
    33,754x = 4,853,769,561
  5. Step 5: Solve for x
    x = 4,853,769,561/33,754
  6. Step 6: Final answer
    x = 143,798.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.