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Finding the Third Proportional to 16,456 and 36,206

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Solution

The third proportional to 16,456 and 36,206 is: 79,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456 : 36,206 = 36,206 : x
  2. Step 2: Convert to fraction form
    16,456/36,206 = 36,206/x
  3. Step 3: Cross multiply
    16,456x = 36,206 × 36,206
  4. Step 4: Simplify right side
    16,456x = 1,310,874,436
  5. Step 5: Solve for x
    x = 1,310,874,436/16,456
  6. Step 6: Final answer
    x = 79,659.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.