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Finding the Third Proportional to 31,072.50 and 67,682.44

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Solution

The third proportional to 31,072.50 and 67,682.44 is: 147,426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,072.50 : 67,682.44 = 67,682.44 : x
  2. Step 2: Convert to fraction form
    31,072.50/67,682.44 = 67,682.44/x
  3. Step 3: Cross multiply
    31,072.50x = 67,682.44 × 67,682.44
  4. Step 4: Simplify right side
    31,072.50x = 4,580,912,345.94
  5. Step 5: Solve for x
    x = 4,580,912,345.94/31,072.50
  6. Step 6: Final answer
    x = 147,426.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.