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Finding the Third Proportional to 22,414.50 and 30,458.25

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Solution

The third proportional to 22,414.50 and 30,458.25 is: 41,388.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414.50 : 30,458.25 = 30,458.25 : x
  2. Step 2: Convert to fraction form
    22,414.50/30,458.25 = 30,458.25/x
  3. Step 3: Cross multiply
    22,414.50x = 30,458.25 × 30,458.25
  4. Step 4: Simplify right side
    22,414.50x = 927,704,993.06
  5. Step 5: Solve for x
    x = 927,704,993.06/22,414.50
  6. Step 6: Final answer
    x = 41,388.61

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.