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Finding the Third Proportional to 33,166.13 and 72,498.38

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Solution

The third proportional to 33,166.13 and 72,498.38 is: 158,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,166.13 : 72,498.38 = 72,498.38 : x
  2. Step 2: Convert to fraction form
    33,166.13/72,498.38 = 72,498.38/x
  3. Step 3: Cross multiply
    33,166.13x = 72,498.38 × 72,498.38
  4. Step 4: Simplify right side
    33,166.13x = 5,256,014,377.64
  5. Step 5: Solve for x
    x = 5,256,014,377.64/33,166.13
  6. Step 6: Final answer
    x = 158,475.38

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