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Finding the Third Proportional to 13,262.25 and 18,022.31

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Solution

The third proportional to 13,262.25 and 18,022.31 is: 24,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,262.25 : 18,022.31 = 18,022.31 : x
  2. Step 2: Convert to fraction form
    13,262.25/18,022.31 = 18,022.31/x
  3. Step 3: Cross multiply
    13,262.25x = 18,022.31 × 18,022.31
  4. Step 4: Simplify right side
    13,262.25x = 324,803,747.85
  5. Step 5: Solve for x
    x = 324,803,747.85/13,262.25
  6. Step 6: Final answer
    x = 24,490.85

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