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Finding the Third Proportional to 20,007 and 36,207

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Solution

The third proportional to 20,007 and 36,207 is: 65,524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007 : 36,207 = 36,207 : x
  2. Step 2: Convert to fraction form
    20,007/36,207 = 36,207/x
  3. Step 3: Cross multiply
    20,007x = 36,207 × 36,207
  4. Step 4: Simplify right side
    20,007x = 1,310,946,849
  5. Step 5: Solve for x
    x = 1,310,946,849/20,007
  6. Step 6: Final answer
    x = 65,524.41

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.