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Finding the Third Proportional to 10,806.75 and 17,614.13

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Solution

The third proportional to 10,806.75 and 17,614.13 is: 28,709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.75 : 17,614.13 = 17,614.13 : x
  2. Step 2: Convert to fraction form
    10,806.75/17,614.13 = 17,614.13/x
  3. Step 3: Cross multiply
    10,806.75x = 17,614.13 × 17,614.13
  4. Step 4: Simplify right side
    10,806.75x = 310,257,399.52
  5. Step 5: Solve for x
    x = 310,257,399.52/10,806.75
  6. Step 6: Final answer
    x = 28,709.59

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.