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Finding the Third Proportional to 11,023.78 and 17,074.41

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Solution

The third proportional to 11,023.78 and 17,074.41 is: 26,446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.78 : 17,074.41 = 17,074.41 : x
  2. Step 2: Convert to fraction form
    11,023.78/17,074.41 = 17,074.41/x
  3. Step 3: Cross multiply
    11,023.78x = 17,074.41 × 17,074.41
  4. Step 4: Simplify right side
    11,023.78x = 291,535,348.79
  5. Step 5: Solve for x
    x = 291,535,348.79/11,023.78
  6. Step 6: Final answer
    x = 26,446.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.