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Finding the Third Proportional to 36,664.13 and 65,704.13

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Solution

The third proportional to 36,664.13 and 65,704.13 is: 117,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,664.13 : 65,704.13 = 65,704.13 : x
  2. Step 2: Convert to fraction form
    36,664.13/65,704.13 = 65,704.13/x
  3. Step 3: Cross multiply
    36,664.13x = 65,704.13 × 65,704.13
  4. Step 4: Simplify right side
    36,664.13x = 4,317,032,042.02
  5. Step 5: Solve for x
    x = 4,317,032,042.02/36,664.13
  6. Step 6: Final answer
    x = 117,745.40

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These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.