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Finding the Third Proportional to 40,007 and 81,400

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Solution

The third proportional to 40,007 and 81,400 is: 165,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,007 : 81,400 = 81,400 : x
  2. Step 2: Convert to fraction form
    40,007/81,400 = 81,400/x
  3. Step 3: Cross multiply
    40,007x = 81,400 × 81,400
  4. Step 4: Simplify right side
    40,007x = 6,625,960,000
  5. Step 5: Solve for x
    x = 6,625,960,000/40,007
  6. Step 6: Final answer
    x = 165,620.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.