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Finding the Third Proportional to 8,380.13 and 11,917.13

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Solution

The third proportional to 8,380.13 and 11,917.13 is: 16,946.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.13 : 11,917.13 = 11,917.13 : x
  2. Step 2: Convert to fraction form
    8,380.13/11,917.13 = 11,917.13/x
  3. Step 3: Cross multiply
    8,380.13x = 11,917.13 × 11,917.13
  4. Step 4: Simplify right side
    8,380.13x = 142,017,868.27
  5. Step 5: Solve for x
    x = 142,017,868.27/8,380.13
  6. Step 6: Final answer
    x = 16,946.99

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.