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Finding the Third Proportional to 36,826 and 49,407

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Solution

The third proportional to 36,826 and 49,407 is: 66,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,826 : 49,407 = 49,407 : x
  2. Step 2: Convert to fraction form
    36,826/49,407 = 49,407/x
  3. Step 3: Cross multiply
    36,826x = 49,407 × 49,407
  4. Step 4: Simplify right side
    36,826x = 2,441,051,649
  5. Step 5: Solve for x
    x = 2,441,051,649/36,826
  6. Step 6: Final answer
    x = 66,286.09

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.