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Finding the Third Proportional to 23,040 and 50,247

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Solution

The third proportional to 23,040 and 50,247 is: 109,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,040 : 50,247 = 50,247 : x
  2. Step 2: Convert to fraction form
    23,040/50,247 = 50,247/x
  3. Step 3: Cross multiply
    23,040x = 50,247 × 50,247
  4. Step 4: Simplify right side
    23,040x = 2,524,761,009
  5. Step 5: Solve for x
    x = 2,524,761,009/23,040
  6. Step 6: Final answer
    x = 109,581.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.