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Finding the Third Proportional to 9,811.75 and 14,012.69

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Solution

The third proportional to 9,811.75 and 14,012.69 is: 20,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.75 : 14,012.69 = 14,012.69 : x
  2. Step 2: Convert to fraction form
    9,811.75/14,012.69 = 14,012.69/x
  3. Step 3: Cross multiply
    9,811.75x = 14,012.69 × 14,012.69
  4. Step 4: Simplify right side
    9,811.75x = 196,355,410.97
  5. Step 5: Solve for x
    x = 196,355,410.97/9,811.75
  6. Step 6: Final answer
    x = 20,012.27

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.