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Finding the Third Proportional to 33,061.50 and 49,599

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Solution

The third proportional to 33,061.50 and 49,599 is: 74,408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,061.50 : 49,599 = 49,599 : x
  2. Step 2: Convert to fraction form
    33,061.50/49,599 = 49,599/x
  3. Step 3: Cross multiply
    33,061.50x = 49,599 × 49,599
  4. Step 4: Simplify right side
    33,061.50x = 2,460,060,801
  5. Step 5: Solve for x
    x = 2,460,060,801/33,061.50
  6. Step 6: Final answer
    x = 74,408.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.