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Finding the Third Proportional to 33,866 and 74,294

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Solution

The third proportional to 33,866 and 74,294 is: 162,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,866 : 74,294 = 74,294 : x
  2. Step 2: Convert to fraction form
    33,866/74,294 = 74,294/x
  3. Step 3: Cross multiply
    33,866x = 74,294 × 74,294
  4. Step 4: Simplify right side
    33,866x = 5,519,598,436
  5. Step 5: Solve for x
    x = 5,519,598,436/33,866
  6. Step 6: Final answer
    x = 162,983.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.