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Finding the Third Proportional to 33,939 and 51,264

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Solution

The third proportional to 33,939 and 51,264 is: 77,432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,939 : 51,264 = 51,264 : x
  2. Step 2: Convert to fraction form
    33,939/51,264 = 51,264/x
  3. Step 3: Cross multiply
    33,939x = 51,264 × 51,264
  4. Step 4: Simplify right side
    33,939x = 2,627,997,696
  5. Step 5: Solve for x
    x = 2,627,997,696/33,939
  6. Step 6: Final answer
    x = 77,432.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.