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Finding the Third Proportional to 22,419 and 47,161

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Solution

The third proportional to 22,419 and 47,161 is: 99,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,419 : 47,161 = 47,161 : x
  2. Step 2: Convert to fraction form
    22,419/47,161 = 47,161/x
  3. Step 3: Cross multiply
    22,419x = 47,161 × 47,161
  4. Step 4: Simplify right side
    22,419x = 2,224,159,921
  5. Step 5: Solve for x
    x = 2,224,159,921/22,419
  6. Step 6: Final answer
    x = 99,208.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.