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Finding the Third Proportional to 33,834 and 48,087

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Solution

The third proportional to 33,834 and 48,087 is: 68,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,834 : 48,087 = 48,087 : x
  2. Step 2: Convert to fraction form
    33,834/48,087 = 48,087/x
  3. Step 3: Cross multiply
    33,834x = 48,087 × 48,087
  4. Step 4: Simplify right side
    33,834x = 2,312,359,569
  5. Step 5: Solve for x
    x = 2,312,359,569/33,834
  6. Step 6: Final answer
    x = 68,344.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.