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Finding the Third Proportional to 23,184 and 47,469

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Solution

The third proportional to 23,184 and 47,469 is: 97,192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184 : 47,469 = 47,469 : x
  2. Step 2: Convert to fraction form
    23,184/47,469 = 47,469/x
  3. Step 3: Cross multiply
    23,184x = 47,469 × 47,469
  4. Step 4: Simplify right side
    23,184x = 2,253,305,961
  5. Step 5: Solve for x
    x = 2,253,305,961/23,184
  6. Step 6: Final answer
    x = 97,192.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.