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Finding the Third Proportional to 33,957 and 49,893

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Solution

The third proportional to 33,957 and 49,893 is: 73,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,957 : 49,893 = 49,893 : x
  2. Step 2: Convert to fraction form
    33,957/49,893 = 49,893/x
  3. Step 3: Cross multiply
    33,957x = 49,893 × 49,893
  4. Step 4: Simplify right side
    33,957x = 2,489,311,449
  5. Step 5: Solve for x
    x = 2,489,311,449/33,957
  6. Step 6: Final answer
    x = 73,307.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.