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Finding the Third Proportional to 11,431.13 and 17,814.94

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Solution

The third proportional to 11,431.13 and 17,814.94 is: 27,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.13 : 17,814.94 = 17,814.94 : x
  2. Step 2: Convert to fraction form
    11,431.13/17,814.94 = 17,814.94/x
  3. Step 3: Cross multiply
    11,431.13x = 17,814.94 × 17,814.94
  4. Step 4: Simplify right side
    11,431.13x = 317,371,998.13
  5. Step 5: Solve for x
    x = 317,371,998.13/11,431.13
  6. Step 6: Final answer
    x = 27,763.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.