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Finding the Third Proportional to 24,247 and 36,388.50

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Solution

The third proportional to 24,247 and 36,388.50 is: 54,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,247 : 36,388.50 = 36,388.50 : x
  2. Step 2: Convert to fraction form
    24,247/36,388.50 = 36,388.50/x
  3. Step 3: Cross multiply
    24,247x = 36,388.50 × 36,388.50
  4. Step 4: Simplify right side
    24,247x = 1,324,122,932.25
  5. Step 5: Solve for x
    x = 1,324,122,932.25/24,247
  6. Step 6: Final answer
    x = 54,609.76

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Why These Related Problems?

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