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Finding the Third Proportional to 11,271 and 24,203

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Solution

The third proportional to 11,271 and 24,203 is: 51,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,271 : 24,203 = 24,203 : x
  2. Step 2: Convert to fraction form
    11,271/24,203 = 24,203/x
  3. Step 3: Cross multiply
    11,271x = 24,203 × 24,203
  4. Step 4: Simplify right side
    11,271x = 585,785,209
  5. Step 5: Solve for x
    x = 585,785,209/11,271
  6. Step 6: Final answer
    x = 51,972.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.