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Finding the Third Proportional to 33,950 and 74,588

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Solution

The third proportional to 33,950 and 74,588 is: 163,869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,950 : 74,588 = 74,588 : x
  2. Step 2: Convert to fraction form
    33,950/74,588 = 74,588/x
  3. Step 3: Cross multiply
    33,950x = 74,588 × 74,588
  4. Step 4: Simplify right side
    33,950x = 5,563,369,744
  5. Step 5: Solve for x
    x = 5,563,369,744/33,950
  6. Step 6: Final answer
    x = 163,869.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.