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Finding the Third Proportional to 26,221 and 56,815

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Solution

The third proportional to 26,221 and 56,815 is: 123,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,221 : 56,815 = 56,815 : x
  2. Step 2: Convert to fraction form
    26,221/56,815 = 56,815/x
  3. Step 3: Cross multiply
    26,221x = 56,815 × 56,815
  4. Step 4: Simplify right side
    26,221x = 3,227,944,225
  5. Step 5: Solve for x
    x = 3,227,944,225/26,221
  6. Step 6: Final answer
    x = 123,105.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.