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Finding the Third Proportional to 22,806.75 and 49,816.50

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Solution

The third proportional to 22,806.75 and 49,816.50 is: 108,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806.75 : 49,816.50 = 49,816.50 : x
  2. Step 2: Convert to fraction form
    22,806.75/49,816.50 = 49,816.50/x
  3. Step 3: Cross multiply
    22,806.75x = 49,816.50 × 49,816.50
  4. Step 4: Simplify right side
    22,806.75x = 2,481,683,672.25
  5. Step 5: Solve for x
    x = 2,481,683,672.25/22,806.75
  6. Step 6: Final answer
    x = 108,813.56

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