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Finding the Third Proportional to 16,486 and 36,529

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Solution

The third proportional to 16,486 and 36,529 is: 80,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486 : 36,529 = 36,529 : x
  2. Step 2: Convert to fraction form
    16,486/36,529 = 36,529/x
  3. Step 3: Cross multiply
    16,486x = 36,529 × 36,529
  4. Step 4: Simplify right side
    16,486x = 1,334,367,841
  5. Step 5: Solve for x
    x = 1,334,367,841/16,486
  6. Step 6: Final answer
    x = 80,939.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.