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Finding the Third Proportional to 32,487.75 and 67,529.25

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Solution

The third proportional to 32,487.75 and 67,529.25 is: 140,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,487.75 : 67,529.25 = 67,529.25 : x
  2. Step 2: Convert to fraction form
    32,487.75/67,529.25 = 67,529.25/x
  3. Step 3: Cross multiply
    32,487.75x = 67,529.25 × 67,529.25
  4. Step 4: Simplify right side
    32,487.75x = 4,560,199,605.56
  5. Step 5: Solve for x
    x = 4,560,199,605.56/32,487.75
  6. Step 6: Final answer
    x = 140,366.74

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.