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Finding the Third Proportional to 11,238.75 and 12,372.75

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Solution

The third proportional to 11,238.75 and 12,372.75 is: 13,621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.75 : 12,372.75 = 12,372.75 : x
  2. Step 2: Convert to fraction form
    11,238.75/12,372.75 = 12,372.75/x
  3. Step 3: Cross multiply
    11,238.75x = 12,372.75 × 12,372.75
  4. Step 4: Simplify right side
    11,238.75x = 153,084,942.56
  5. Step 5: Solve for x
    x = 153,084,942.56/11,238.75
  6. Step 6: Final answer
    x = 13,621.17

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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.