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Finding the Third Proportional to 22,184 and 48,832

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Solution

The third proportional to 22,184 and 48,832 is: 107,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,184 : 48,832 = 48,832 : x
  2. Step 2: Convert to fraction form
    22,184/48,832 = 48,832/x
  3. Step 3: Cross multiply
    22,184x = 48,832 × 48,832
  4. Step 4: Simplify right side
    22,184x = 2,384,564,224
  5. Step 5: Solve for x
    x = 2,384,564,224/22,184
  6. Step 6: Final answer
    x = 107,490.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.