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Finding the Third Proportional to 21,568.78 and 33,106.22

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Solution

The third proportional to 21,568.78 and 33,106.22 is: 50,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568.78 : 33,106.22 = 33,106.22 : x
  2. Step 2: Convert to fraction form
    21,568.78/33,106.22 = 33,106.22/x
  3. Step 3: Cross multiply
    21,568.78x = 33,106.22 × 33,106.22
  4. Step 4: Simplify right side
    21,568.78x = 1,096,021,719.92
  5. Step 5: Solve for x
    x = 1,096,021,719.92/21,568.78
  6. Step 6: Final answer
    x = 50,815.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.