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Finding the Third Proportional to 10,190.81 and 21,819.38

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Solution

The third proportional to 10,190.81 and 21,819.38 is: 46,717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.81 : 21,819.38 = 21,819.38 : x
  2. Step 2: Convert to fraction form
    10,190.81/21,819.38 = 21,819.38/x
  3. Step 3: Cross multiply
    10,190.81x = 21,819.38 × 21,819.38
  4. Step 4: Simplify right side
    10,190.81x = 476,085,125.39
  5. Step 5: Solve for x
    x = 476,085,125.39/10,190.81
  6. Step 6: Final answer
    x = 46,717.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.