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Finding the Third Proportional to 16,018 and 36,869

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Solution

The third proportional to 16,018 and 36,869 is: 84,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,018 : 36,869 = 36,869 : x
  2. Step 2: Convert to fraction form
    16,018/36,869 = 36,869/x
  3. Step 3: Cross multiply
    16,018x = 36,869 × 36,869
  4. Step 4: Simplify right side
    16,018x = 1,359,323,161
  5. Step 5: Solve for x
    x = 1,359,323,161/16,018
  6. Step 6: Final answer
    x = 84,862.23

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.