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Finding the Third Proportional to 31,331.81 and 67,037.63

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Solution

The third proportional to 31,331.81 and 67,037.63 is: 143,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,331.81 : 67,037.63 = 67,037.63 : x
  2. Step 2: Convert to fraction form
    31,331.81/67,037.63 = 67,037.63/x
  3. Step 3: Cross multiply
    31,331.81x = 67,037.63 × 67,037.63
  4. Step 4: Simplify right side
    31,331.81x = 4,494,043,165.64
  5. Step 5: Solve for x
    x = 4,494,043,165.64/31,331.81
  6. Step 6: Final answer
    x = 143,433.87

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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.