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Finding the Third Proportional to 31,994.06 and 68,817.75

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Solution

The third proportional to 31,994.06 and 68,817.75 is: 148,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,994.06 : 68,817.75 = 68,817.75 : x
  2. Step 2: Convert to fraction form
    31,994.06/68,817.75 = 68,817.75/x
  3. Step 3: Cross multiply
    31,994.06x = 68,817.75 × 68,817.75
  4. Step 4: Simplify right side
    31,994.06x = 4,735,882,715.06
  5. Step 5: Solve for x
    x = 4,735,882,715.06/31,994.06
  6. Step 6: Final answer
    x = 148,023.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.