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Finding the Third Proportional to 22,671 and 49,357

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Solution

The third proportional to 22,671 and 49,357 is: 107,455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,671 : 49,357 = 49,357 : x
  2. Step 2: Convert to fraction form
    22,671/49,357 = 49,357/x
  3. Step 3: Cross multiply
    22,671x = 49,357 × 49,357
  4. Step 4: Simplify right side
    22,671x = 2,436,113,449
  5. Step 5: Solve for x
    x = 2,436,113,449/22,671
  6. Step 6: Final answer
    x = 107,455.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.