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Finding the Third Proportional to 31,767.75 and 73,859.63

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Solution

The third proportional to 31,767.75 and 73,859.63 is: 171,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,767.75 : 73,859.63 = 73,859.63 : x
  2. Step 2: Convert to fraction form
    31,767.75/73,859.63 = 73,859.63/x
  3. Step 3: Cross multiply
    31,767.75x = 73,859.63 × 73,859.63
  4. Step 4: Simplify right side
    31,767.75x = 5,455,244,205.14
  5. Step 5: Solve for x
    x = 5,455,244,205.14/31,767.75
  6. Step 6: Final answer
    x = 171,722.71

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.