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Finding the Third Proportional to 18,144 and 43,537.50

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Solution

The third proportional to 18,144 and 43,537.50 is: 104,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,144 : 43,537.50 = 43,537.50 : x
  2. Step 2: Convert to fraction form
    18,144/43,537.50 = 43,537.50/x
  3. Step 3: Cross multiply
    18,144x = 43,537.50 × 43,537.50
  4. Step 4: Simplify right side
    18,144x = 1,895,513,906.25
  5. Step 5: Solve for x
    x = 1,895,513,906.25/18,144
  6. Step 6: Final answer
    x = 104,470.56

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.