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Finding the Third Proportional to 33,932.67 and 72,371.76

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Solution

The third proportional to 33,932.67 and 72,371.76 is: 154,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,932.67 : 72,371.76 = 72,371.76 : x
  2. Step 2: Convert to fraction form
    33,932.67/72,371.76 = 72,371.76/x
  3. Step 3: Cross multiply
    33,932.67x = 72,371.76 × 72,371.76
  4. Step 4: Simplify right side
    33,932.67x = 5,237,671,611.57
  5. Step 5: Solve for x
    x = 5,237,671,611.57/33,932.67
  6. Step 6: Final answer
    x = 154,354.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.