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Finding the Third Proportional to 31,050.84 and 73,834.03

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Solution

The third proportional to 31,050.84 and 73,834.03 is: 175,565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,050.84 : 73,834.03 = 73,834.03 : x
  2. Step 2: Convert to fraction form
    31,050.84/73,834.03 = 73,834.03/x
  3. Step 3: Cross multiply
    31,050.84x = 73,834.03 × 73,834.03
  4. Step 4: Simplify right side
    31,050.84x = 5,451,464,170.63
  5. Step 5: Solve for x
    x = 5,451,464,170.63/31,050.84
  6. Step 6: Final answer
    x = 175,565.73

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.