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Finding the Third Proportional to 22,122 and 45,393

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Solution

The third proportional to 22,122 and 45,393 is: 93,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,122 : 45,393 = 45,393 : x
  2. Step 2: Convert to fraction form
    22,122/45,393 = 45,393/x
  3. Step 3: Cross multiply
    22,122x = 45,393 × 45,393
  4. Step 4: Simplify right side
    22,122x = 2,060,524,449
  5. Step 5: Solve for x
    x = 2,060,524,449/22,122
  6. Step 6: Final answer
    x = 93,143.68

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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.