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Finding the Third Proportional to 20,007 and 36,669

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Solution

The third proportional to 20,007 and 36,669 is: 67,207.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007 : 36,669 = 36,669 : x
  2. Step 2: Convert to fraction form
    20,007/36,669 = 36,669/x
  3. Step 3: Cross multiply
    20,007x = 36,669 × 36,669
  4. Step 4: Simplify right side
    20,007x = 1,344,615,561
  5. Step 5: Solve for x
    x = 1,344,615,561/20,007
  6. Step 6: Final answer
    x = 67,207.26

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.