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Finding the Third Proportional to 31,546.97 and 52,576.59

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Solution

The third proportional to 31,546.97 and 52,576.59 is: 87,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,546.97 : 52,576.59 = 52,576.59 : x
  2. Step 2: Convert to fraction form
    31,546.97/52,576.59 = 52,576.59/x
  3. Step 3: Cross multiply
    31,546.97x = 52,576.59 × 52,576.59
  4. Step 4: Simplify right side
    31,546.97x = 2,764,298,210.35
  5. Step 5: Solve for x
    x = 2,764,298,210.35/31,546.97
  6. Step 6: Final answer
    x = 87,624.84

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.