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Finding the Third Proportional to 39,337 and 85,238

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Solution

The third proportional to 39,337 and 85,238 is: 184,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,337 : 85,238 = 85,238 : x
  2. Step 2: Convert to fraction form
    39,337/85,238 = 85,238/x
  3. Step 3: Cross multiply
    39,337x = 85,238 × 85,238
  4. Step 4: Simplify right side
    39,337x = 7,265,516,644
  5. Step 5: Solve for x
    x = 7,265,516,644/39,337
  6. Step 6: Final answer
    x = 184,699.31

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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.