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Finding the Third Proportional to 22,147 and 47,165

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Solution

The third proportional to 22,147 and 47,165 is: 100,444.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147 : 47,165 = 47,165 : x
  2. Step 2: Convert to fraction form
    22,147/47,165 = 47,165/x
  3. Step 3: Cross multiply
    22,147x = 47,165 × 47,165
  4. Step 4: Simplify right side
    22,147x = 2,224,537,225
  5. Step 5: Solve for x
    x = 2,224,537,225/22,147
  6. Step 6: Final answer
    x = 100,444.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.