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Finding the Third Proportional to 22,305.38 and 34,578.56

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Solution

The third proportional to 22,305.38 and 34,578.56 is: 53,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,305.38 : 34,578.56 = 34,578.56 : x
  2. Step 2: Convert to fraction form
    22,305.38/34,578.56 = 34,578.56/x
  3. Step 3: Cross multiply
    22,305.38x = 34,578.56 × 34,578.56
  4. Step 4: Simplify right side
    22,305.38x = 1,195,676,984.57
  5. Step 5: Solve for x
    x = 1,195,676,984.57/22,305.38
  6. Step 6: Final answer
    x = 53,604.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.