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Finding the Third Proportional to 38,039.25 and 55,650.38

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Solution

The third proportional to 38,039.25 and 55,650.38 is: 81,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,039.25 : 55,650.38 = 55,650.38 : x
  2. Step 2: Convert to fraction form
    38,039.25/55,650.38 = 55,650.38/x
  3. Step 3: Cross multiply
    38,039.25x = 55,650.38 × 55,650.38
  4. Step 4: Simplify right side
    38,039.25x = 3,096,964,237.64
  5. Step 5: Solve for x
    x = 3,096,964,237.64/38,039.25
  6. Step 6: Final answer
    x = 81,414.97

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.