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Finding the Third Proportional to 22,200.75 and 48,318.75

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Solution

The third proportional to 22,200.75 and 48,318.75 is: 105,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,200.75 : 48,318.75 = 48,318.75 : x
  2. Step 2: Convert to fraction form
    22,200.75/48,318.75 = 48,318.75/x
  3. Step 3: Cross multiply
    22,200.75x = 48,318.75 × 48,318.75
  4. Step 4: Simplify right side
    22,200.75x = 2,334,701,601.56
  5. Step 5: Solve for x
    x = 2,334,701,601.56/22,200.75
  6. Step 6: Final answer
    x = 105,163.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.