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Finding the Third Proportional to 33,794.50 and 69,731

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Solution

The third proportional to 33,794.50 and 69,731 is: 143,881.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,794.50 : 69,731 = 69,731 : x
  2. Step 2: Convert to fraction form
    33,794.50/69,731 = 69,731/x
  3. Step 3: Cross multiply
    33,794.50x = 69,731 × 69,731
  4. Step 4: Simplify right side
    33,794.50x = 4,862,412,361
  5. Step 5: Solve for x
    x = 4,862,412,361/33,794.50
  6. Step 6: Final answer
    x = 143,881.77

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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.