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Finding the Third Proportional to 22,221 and 48,789

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Solution

The third proportional to 22,221 and 48,789 is: 107,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,221 : 48,789 = 48,789 : x
  2. Step 2: Convert to fraction form
    22,221/48,789 = 48,789/x
  3. Step 3: Cross multiply
    22,221x = 48,789 × 48,789
  4. Step 4: Simplify right side
    22,221x = 2,380,366,521
  5. Step 5: Solve for x
    x = 2,380,366,521/22,221
  6. Step 6: Final answer
    x = 107,122.39

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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.