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Finding the Third Proportional to 21,766 and 48,857

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Solution

The third proportional to 21,766 and 48,857 is: 109,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,766 : 48,857 = 48,857 : x
  2. Step 2: Convert to fraction form
    21,766/48,857 = 48,857/x
  3. Step 3: Cross multiply
    21,766x = 48,857 × 48,857
  4. Step 4: Simplify right side
    21,766x = 2,387,006,449
  5. Step 5: Solve for x
    x = 2,387,006,449/21,766
  6. Step 6: Final answer
    x = 109,666.75

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.