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Finding the Third Proportional to 22,209.19 and 33,974.44

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Solution

The third proportional to 22,209.19 and 33,974.44 is: 51,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,209.19 : 33,974.44 = 33,974.44 : x
  2. Step 2: Convert to fraction form
    22,209.19/33,974.44 = 33,974.44/x
  3. Step 3: Cross multiply
    22,209.19x = 33,974.44 × 33,974.44
  4. Step 4: Simplify right side
    22,209.19x = 1,154,262,403.44
  5. Step 5: Solve for x
    x = 1,154,262,403.44/22,209.19
  6. Step 6: Final answer
    x = 51,972.29

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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.