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Finding the Third Proportional to 41,340.38 and 61,896.66

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Solution

The third proportional to 41,340.38 and 61,896.66 is: 92,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,340.38 : 61,896.66 = 61,896.66 : x
  2. Step 2: Convert to fraction form
    41,340.38/61,896.66 = 61,896.66/x
  3. Step 3: Cross multiply
    41,340.38x = 61,896.66 × 61,896.66
  4. Step 4: Simplify right side
    41,340.38x = 3,831,196,054.93
  5. Step 5: Solve for x
    x = 3,831,196,054.93/41,340.38
  6. Step 6: Final answer
    x = 92,674.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.