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Finding the Third Proportional to 11,020.50 and 23,631.75

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Solution

The third proportional to 11,020.50 and 23,631.75 is: 50,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,020.50 : 23,631.75 = 23,631.75 : x
  2. Step 2: Convert to fraction form
    11,020.50/23,631.75 = 23,631.75/x
  3. Step 3: Cross multiply
    11,020.50x = 23,631.75 × 23,631.75
  4. Step 4: Simplify right side
    11,020.50x = 558,459,608.06
  5. Step 5: Solve for x
    x = 558,459,608.06/11,020.50
  6. Step 6: Final answer
    x = 50,674.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.