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Finding the Third Proportional to 31,360.75 and 67,833.25

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Solution

The third proportional to 31,360.75 and 67,833.25 is: 146,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,360.75 : 67,833.25 = 67,833.25 : x
  2. Step 2: Convert to fraction form
    31,360.75/67,833.25 = 67,833.25/x
  3. Step 3: Cross multiply
    31,360.75x = 67,833.25 × 67,833.25
  4. Step 4: Simplify right side
    31,360.75x = 4,601,349,805.56
  5. Step 5: Solve for x
    x = 4,601,349,805.56/31,360.75
  6. Step 6: Final answer
    x = 146,723.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.