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Finding the Third Proportional to 11,167.88 and 17,906.06

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Solution

The third proportional to 11,167.88 and 17,906.06 is: 28,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.88 : 17,906.06 = 17,906.06 : x
  2. Step 2: Convert to fraction form
    11,167.88/17,906.06 = 17,906.06/x
  3. Step 3: Cross multiply
    11,167.88x = 17,906.06 × 17,906.06
  4. Step 4: Simplify right side
    11,167.88x = 320,627,074.25
  5. Step 5: Solve for x
    x = 320,627,074.25/11,167.88
  6. Step 6: Final answer
    x = 28,709.77

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.