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Finding the Third Proportional to 16,176.38 and 21,738.38

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Solution

The third proportional to 16,176.38 and 21,738.38 is: 29,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176.38 : 21,738.38 = 21,738.38 : x
  2. Step 2: Convert to fraction form
    16,176.38/21,738.38 = 21,738.38/x
  3. Step 3: Cross multiply
    16,176.38x = 21,738.38 × 21,738.38
  4. Step 4: Simplify right side
    16,176.38x = 472,556,947.64
  5. Step 5: Solve for x
    x = 472,556,947.64/16,176.38
  6. Step 6: Final answer
    x = 29,212.78

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.