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Finding the Third Proportional to 33,231 and 55,384.50

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Solution

The third proportional to 33,231 and 55,384.50 is: 92,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231 : 55,384.50 = 55,384.50 : x
  2. Step 2: Convert to fraction form
    33,231/55,384.50 = 55,384.50/x
  3. Step 3: Cross multiply
    33,231x = 55,384.50 × 55,384.50
  4. Step 4: Simplify right side
    33,231x = 3,067,442,840.25
  5. Step 5: Solve for x
    x = 3,067,442,840.25/33,231
  6. Step 6: Final answer
    x = 92,306.67

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Why These Related Problems?

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