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Finding the Third Proportional to 33,490.09 and 72,238.36

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Solution

The third proportional to 33,490.09 and 72,238.36 is: 155,818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,490.09 : 72,238.36 = 72,238.36 : x
  2. Step 2: Convert to fraction form
    33,490.09/72,238.36 = 72,238.36/x
  3. Step 3: Cross multiply
    33,490.09x = 72,238.36 × 72,238.36
  4. Step 4: Simplify right side
    33,490.09x = 5,218,380,565.19
  5. Step 5: Solve for x
    x = 5,218,380,565.19/33,490.09
  6. Step 6: Final answer
    x = 155,818.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.