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Finding the Third Proportional to 33,403.50 and 69,561

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Solution

The third proportional to 33,403.50 and 69,561 is: 144,857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,403.50 : 69,561 = 69,561 : x
  2. Step 2: Convert to fraction form
    33,403.50/69,561 = 69,561/x
  3. Step 3: Cross multiply
    33,403.50x = 69,561 × 69,561
  4. Step 4: Simplify right side
    33,403.50x = 4,838,732,721
  5. Step 5: Solve for x
    x = 4,838,732,721/33,403.50
  6. Step 6: Final answer
    x = 144,857.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.