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Finding the Third Proportional to 41,748.33 and 84,954.66

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Solution

The third proportional to 41,748.33 and 84,954.66 is: 172,876.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,748.33 : 84,954.66 = 84,954.66 : x
  2. Step 2: Convert to fraction form
    41,748.33/84,954.66 = 84,954.66/x
  3. Step 3: Cross multiply
    41,748.33x = 84,954.66 × 84,954.66
  4. Step 4: Simplify right side
    41,748.33x = 7,217,293,618.56
  5. Step 5: Solve for x
    x = 7,217,293,618.56/41,748.33
  6. Step 6: Final answer
    x = 172,876.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.