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Finding the Third Proportional to 38,737.69 and 84,846.38

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Solution

The third proportional to 38,737.69 and 84,846.38 is: 185,837.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,737.69 : 84,846.38 = 84,846.38 : x
  2. Step 2: Convert to fraction form
    38,737.69/84,846.38 = 84,846.38/x
  3. Step 3: Cross multiply
    38,737.69x = 84,846.38 × 84,846.38
  4. Step 4: Simplify right side
    38,737.69x = 7,198,907,350.64
  5. Step 5: Solve for x
    x = 7,198,907,350.64/38,737.69
  6. Step 6: Final answer
    x = 185,837.30

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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.