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Finding the Third Proportional to 39,973 and 81,322

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Solution

The third proportional to 39,973 and 81,322 is: 165,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,973 : 81,322 = 81,322 : x
  2. Step 2: Convert to fraction form
    39,973/81,322 = 81,322/x
  3. Step 3: Cross multiply
    39,973x = 81,322 × 81,322
  4. Step 4: Simplify right side
    39,973x = 6,613,267,684
  5. Step 5: Solve for x
    x = 6,613,267,684/39,973
  6. Step 6: Final answer
    x = 165,443.37

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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.