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Finding the Third Proportional to 26,646 and 55,843

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Solution

The third proportional to 26,646 and 55,843 is: 117,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,646 : 55,843 = 55,843 : x
  2. Step 2: Convert to fraction form
    26,646/55,843 = 55,843/x
  3. Step 3: Cross multiply
    26,646x = 55,843 × 55,843
  4. Step 4: Simplify right side
    26,646x = 3,118,440,649
  5. Step 5: Solve for x
    x = 3,118,440,649/26,646
  6. Step 6: Final answer
    x = 117,032.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.