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Finding the Third Proportional to 36,951.19 and 57,727.69

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Solution

The third proportional to 36,951.19 and 57,727.69 is: 90,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,951.19 : 57,727.69 = 57,727.69 : x
  2. Step 2: Convert to fraction form
    36,951.19/57,727.69 = 57,727.69/x
  3. Step 3: Cross multiply
    36,951.19x = 57,727.69 × 57,727.69
  4. Step 4: Simplify right side
    36,951.19x = 3,332,485,904.10
  5. Step 5: Solve for x
    x = 3,332,485,904.10/36,951.19
  6. Step 6: Final answer
    x = 90,186.17

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.