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Finding the Third Proportional to 31,785.75 and 54,060.75

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Solution

The third proportional to 31,785.75 and 54,060.75 is: 91,945.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785.75 : 54,060.75 = 54,060.75 : x
  2. Step 2: Convert to fraction form
    31,785.75/54,060.75 = 54,060.75/x
  3. Step 3: Cross multiply
    31,785.75x = 54,060.75 × 54,060.75
  4. Step 4: Simplify right side
    31,785.75x = 2,922,564,690.56
  5. Step 5: Solve for x
    x = 2,922,564,690.56/31,785.75
  6. Step 6: Final answer
    x = 91,945.75

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.