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Finding the Third Proportional to 11,792.25 and 16,023.38

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Solution

The third proportional to 11,792.25 and 16,023.38 is: 21,772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.25 : 16,023.38 = 16,023.38 : x
  2. Step 2: Convert to fraction form
    11,792.25/16,023.38 = 16,023.38/x
  3. Step 3: Cross multiply
    11,792.25x = 16,023.38 × 16,023.38
  4. Step 4: Simplify right side
    11,792.25x = 256,748,546.39
  5. Step 5: Solve for x
    x = 256,748,546.39/11,792.25
  6. Step 6: Final answer
    x = 21,772.65

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.