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Finding the Third Proportional to 10,338.05 and 22,645.83

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Solution

The third proportional to 10,338.05 and 22,645.83 is: 49,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.05 : 22,645.83 = 22,645.83 : x
  2. Step 2: Convert to fraction form
    10,338.05/22,645.83 = 22,645.83/x
  3. Step 3: Cross multiply
    10,338.05x = 22,645.83 × 22,645.83
  4. Step 4: Simplify right side
    10,338.05x = 512,833,531.47
  5. Step 5: Solve for x
    x = 512,833,531.47/10,338.05
  6. Step 6: Final answer
    x = 49,606.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.