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Finding the Third Proportional to 36,964.50 and 56,361.75

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Solution

The third proportional to 36,964.50 and 56,361.75 is: 85,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,964.50 : 56,361.75 = 56,361.75 : x
  2. Step 2: Convert to fraction form
    36,964.50/56,361.75 = 56,361.75/x
  3. Step 3: Cross multiply
    36,964.50x = 56,361.75 × 56,361.75
  4. Step 4: Simplify right side
    36,964.50x = 3,176,646,863.06
  5. Step 5: Solve for x
    x = 3,176,646,863.06/36,964.50
  6. Step 6: Final answer
    x = 85,937.77

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.