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Finding the Third Proportional to 26,018 and 36,031

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Solution

The third proportional to 26,018 and 36,031 is: 49,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,018 : 36,031 = 36,031 : x
  2. Step 2: Convert to fraction form
    26,018/36,031 = 36,031/x
  3. Step 3: Cross multiply
    26,018x = 36,031 × 36,031
  4. Step 4: Simplify right side
    26,018x = 1,298,232,961
  5. Step 5: Solve for x
    x = 1,298,232,961/26,018
  6. Step 6: Final answer
    x = 49,897.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.