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Finding the Third Proportional to 10,131.75 and 12,287.25

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Solution

The third proportional to 10,131.75 and 12,287.25 is: 14,901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.75 : 12,287.25 = 12,287.25 : x
  2. Step 2: Convert to fraction form
    10,131.75/12,287.25 = 12,287.25/x
  3. Step 3: Cross multiply
    10,131.75x = 12,287.25 × 12,287.25
  4. Step 4: Simplify right side
    10,131.75x = 150,976,512.56
  5. Step 5: Solve for x
    x = 150,976,512.56/10,131.75
  6. Step 6: Final answer
    x = 14,901.33

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.