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Finding the Third Proportional to 22,496.25 and 49,401

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Solution

The third proportional to 22,496.25 and 49,401 is: 108,482.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.25 : 49,401 = 49,401 : x
  2. Step 2: Convert to fraction form
    22,496.25/49,401 = 49,401/x
  3. Step 3: Cross multiply
    22,496.25x = 49,401 × 49,401
  4. Step 4: Simplify right side
    22,496.25x = 2,440,458,801
  5. Step 5: Solve for x
    x = 2,440,458,801/22,496.25
  6. Step 6: Final answer
    x = 108,482.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.