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Finding the Third Proportional to 22,191.75 and 48,144.38

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Solution

The third proportional to 22,191.75 and 48,144.38 is: 104,447.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,191.75 : 48,144.38 = 48,144.38 : x
  2. Step 2: Convert to fraction form
    22,191.75/48,144.38 = 48,144.38/x
  3. Step 3: Cross multiply
    22,191.75x = 48,144.38 × 48,144.38
  4. Step 4: Simplify right side
    22,191.75x = 2,317,880,844.14
  5. Step 5: Solve for x
    x = 2,317,880,844.14/22,191.75
  6. Step 6: Final answer
    x = 104,447.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.