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Finding the Third Proportional to 39,600 and 86,032

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Solution

The third proportional to 39,600 and 86,032 is: 186,906.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,600 : 86,032 = 86,032 : x
  2. Step 2: Convert to fraction form
    39,600/86,032 = 86,032/x
  3. Step 3: Cross multiply
    39,600x = 86,032 × 86,032
  4. Step 4: Simplify right side
    39,600x = 7,401,505,024
  5. Step 5: Solve for x
    x = 7,401,505,024/39,600
  6. Step 6: Final answer
    x = 186,906.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.