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Finding the Third Proportional to 11,793.09 and 17,814.94

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Solution

The third proportional to 11,793.09 and 17,814.94 is: 26,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.09 : 17,814.94 = 17,814.94 : x
  2. Step 2: Convert to fraction form
    11,793.09/17,814.94 = 17,814.94/x
  3. Step 3: Cross multiply
    11,793.09x = 17,814.94 × 17,814.94
  4. Step 4: Simplify right side
    11,793.09x = 317,371,998.13
  5. Step 5: Solve for x
    x = 317,371,998.13/11,793.09
  6. Step 6: Final answer
    x = 26,911.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.