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Finding the Third Proportional to 39,182 and 84,924

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Solution

The third proportional to 39,182 and 84,924 is: 184,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,182 : 84,924 = 84,924 : x
  2. Step 2: Convert to fraction form
    39,182/84,924 = 84,924/x
  3. Step 3: Cross multiply
    39,182x = 84,924 × 84,924
  4. Step 4: Simplify right side
    39,182x = 7,212,085,776
  5. Step 5: Solve for x
    x = 7,212,085,776/39,182
  6. Step 6: Final answer
    x = 184,066.30

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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.