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Finding the Third Proportional to 22,296.75 and 30,369.75

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Solution

The third proportional to 22,296.75 and 30,369.75 is: 41,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.75 : 30,369.75 = 30,369.75 : x
  2. Step 2: Convert to fraction form
    22,296.75/30,369.75 = 30,369.75/x
  3. Step 3: Cross multiply
    22,296.75x = 30,369.75 × 30,369.75
  4. Step 4: Simplify right side
    22,296.75x = 922,321,715.06
  5. Step 5: Solve for x
    x = 922,321,715.06/22,296.75
  6. Step 6: Final answer
    x = 41,365.75

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Why These Related Problems?

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