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Finding the Third Proportional to 40,770.14 and 60,965.30

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Solution

The third proportional to 40,770.14 and 60,965.30 is: 91,163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,770.14 : 60,965.30 = 60,965.30 : x
  2. Step 2: Convert to fraction form
    40,770.14/60,965.30 = 60,965.30/x
  3. Step 3: Cross multiply
    40,770.14x = 60,965.30 × 60,965.30
  4. Step 4: Simplify right side
    40,770.14x = 3,716,767,423.06
  5. Step 5: Solve for x
    x = 3,716,767,423.06/40,770.14
  6. Step 6: Final answer
    x = 91,163.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.