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Finding the Third Proportional to 22,198.50 and 53,572.50

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Solution

The third proportional to 22,198.50 and 53,572.50 is: 129,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198.50 : 53,572.50 = 53,572.50 : x
  2. Step 2: Convert to fraction form
    22,198.50/53,572.50 = 53,572.50/x
  3. Step 3: Cross multiply
    22,198.50x = 53,572.50 × 53,572.50
  4. Step 4: Simplify right side
    22,198.50x = 2,870,012,756.25
  5. Step 5: Solve for x
    x = 2,870,012,756.25/22,198.50
  6. Step 6: Final answer
    x = 129,288.59

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.