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Finding the Third Proportional to 22,784 and 47,872

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Solution

The third proportional to 22,784 and 47,872 is: 100,584.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784 : 47,872 = 47,872 : x
  2. Step 2: Convert to fraction form
    22,784/47,872 = 47,872/x
  3. Step 3: Cross multiply
    22,784x = 47,872 × 47,872
  4. Step 4: Simplify right side
    22,784x = 2,291,728,384
  5. Step 5: Solve for x
    x = 2,291,728,384/22,784
  6. Step 6: Final answer
    x = 100,584.99

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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.