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Finding the Third Proportional to 33,734 and 48,588

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Solution

The third proportional to 33,734 and 48,588 is: 69,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,734 : 48,588 = 48,588 : x
  2. Step 2: Convert to fraction form
    33,734/48,588 = 48,588/x
  3. Step 3: Cross multiply
    33,734x = 48,588 × 48,588
  4. Step 4: Simplify right side
    33,734x = 2,360,793,744
  5. Step 5: Solve for x
    x = 2,360,793,744/33,734
  6. Step 6: Final answer
    x = 69,982.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.