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Finding the Third Proportional to 33,637.97 and 70,761.19

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Solution

The third proportional to 33,637.97 and 70,761.19 is: 148,853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,637.97 : 70,761.19 = 70,761.19 : x
  2. Step 2: Convert to fraction form
    33,637.97/70,761.19 = 70,761.19/x
  3. Step 3: Cross multiply
    33,637.97x = 70,761.19 × 70,761.19
  4. Step 4: Simplify right side
    33,637.97x = 5,007,145,656.41
  5. Step 5: Solve for x
    x = 5,007,145,656.41/33,637.97
  6. Step 6: Final answer
    x = 148,853.98

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.