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Finding the Third Proportional to 21,772.13 and 33,265.69

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Solution

The third proportional to 21,772.13 and 33,265.69 is: 50,826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,772.13 : 33,265.69 = 33,265.69 : x
  2. Step 2: Convert to fraction form
    21,772.13/33,265.69 = 33,265.69/x
  3. Step 3: Cross multiply
    21,772.13x = 33,265.69 × 33,265.69
  4. Step 4: Simplify right side
    21,772.13x = 1,106,605,964.85
  5. Step 5: Solve for x
    x = 1,106,605,964.85/21,772.13
  6. Step 6: Final answer
    x = 50,826.73

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.