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Finding the Third Proportional to 33,991.25 and 72,903.13

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Solution

The third proportional to 33,991.25 and 72,903.13 is: 156,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,991.25 : 72,903.13 = 72,903.13 : x
  2. Step 2: Convert to fraction form
    33,991.25/72,903.13 = 72,903.13/x
  3. Step 3: Cross multiply
    33,991.25x = 72,903.13 × 72,903.13
  4. Step 4: Simplify right side
    33,991.25x = 5,314,865,634.77
  5. Step 5: Solve for x
    x = 5,314,865,634.77/33,991.25
  6. Step 6: Final answer
    x = 156,359.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.