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Finding the Third Proportional to 16,646 and 36,207

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Solution

The third proportional to 16,646 and 36,207 is: 78,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646 : 36,207 = 36,207 : x
  2. Step 2: Convert to fraction form
    16,646/36,207 = 36,207/x
  3. Step 3: Cross multiply
    16,646x = 36,207 × 36,207
  4. Step 4: Simplify right side
    16,646x = 1,310,946,849
  5. Step 5: Solve for x
    x = 1,310,946,849/16,646
  6. Step 6: Final answer
    x = 78,754.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.