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Finding the Third Proportional to 11,220.75 and 12,382.31

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Solution

The third proportional to 11,220.75 and 12,382.31 is: 13,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,220.75 : 12,382.31 = 12,382.31 : x
  2. Step 2: Convert to fraction form
    11,220.75/12,382.31 = 12,382.31/x
  3. Step 3: Cross multiply
    11,220.75x = 12,382.31 × 12,382.31
  4. Step 4: Simplify right side
    11,220.75x = 153,321,662.85
  5. Step 5: Solve for x
    x = 153,321,662.85/11,220.75
  6. Step 6: Final answer
    x = 13,664.12

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.