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Finding the Third Proportional to 26,809 and 58,031

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Solution

The third proportional to 26,809 and 58,031 is: 125,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,809 : 58,031 = 58,031 : x
  2. Step 2: Convert to fraction form
    26,809/58,031 = 58,031/x
  3. Step 3: Cross multiply
    26,809x = 58,031 × 58,031
  4. Step 4: Simplify right side
    26,809x = 3,367,596,961
  5. Step 5: Solve for x
    x = 3,367,596,961/26,809
  6. Step 6: Final answer
    x = 125,614.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.