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Finding the Third Proportional to 11,286.50 and 23,344

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Solution

The third proportional to 11,286.50 and 23,344 is: 48,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.50 : 23,344 = 23,344 : x
  2. Step 2: Convert to fraction form
    11,286.50/23,344 = 23,344/x
  3. Step 3: Cross multiply
    11,286.50x = 23,344 × 23,344
  4. Step 4: Simplify right side
    11,286.50x = 544,942,336
  5. Step 5: Solve for x
    x = 544,942,336/11,286.50
  6. Step 6: Final answer
    x = 48,282.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.