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Finding the Third Proportional to 33,939 and 48,480.19

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Solution

The third proportional to 33,939 and 48,480.19 is: 69,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,939 : 48,480.19 = 48,480.19 : x
  2. Step 2: Convert to fraction form
    33,939/48,480.19 = 48,480.19/x
  3. Step 3: Cross multiply
    33,939x = 48,480.19 × 48,480.19
  4. Step 4: Simplify right side
    33,939x = 2,350,328,580.04
  5. Step 5: Solve for x
    x = 2,350,328,580.04/33,939
  6. Step 6: Final answer
    x = 69,251.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.