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Finding the Third Proportional to 31,697.44 and 67,893.75

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Solution

The third proportional to 31,697.44 and 67,893.75 is: 145,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,697.44 : 67,893.75 = 67,893.75 : x
  2. Step 2: Convert to fraction form
    31,697.44/67,893.75 = 67,893.75/x
  3. Step 3: Cross multiply
    31,697.44x = 67,893.75 × 67,893.75
  4. Step 4: Simplify right side
    31,697.44x = 4,609,561,289.06
  5. Step 5: Solve for x
    x = 4,609,561,289.06/31,697.44
  6. Step 6: Final answer
    x = 145,423.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.