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Finding the Third Proportional to 33,652.13 and 72,876.38

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Solution

The third proportional to 33,652.13 and 72,876.38 is: 157,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,652.13 : 72,876.38 = 72,876.38 : x
  2. Step 2: Convert to fraction form
    33,652.13/72,876.38 = 72,876.38/x
  3. Step 3: Cross multiply
    33,652.13x = 72,876.38 × 72,876.38
  4. Step 4: Simplify right side
    33,652.13x = 5,310,966,033.14
  5. Step 5: Solve for x
    x = 5,310,966,033.14/33,652.13
  6. Step 6: Final answer
    x = 157,819.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.