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Finding the Third Proportional to 38,859 and 84,743

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Solution

The third proportional to 38,859 and 84,743 is: 184,805.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,859 : 84,743 = 84,743 : x
  2. Step 2: Convert to fraction form
    38,859/84,743 = 84,743/x
  3. Step 3: Cross multiply
    38,859x = 84,743 × 84,743
  4. Step 4: Simplify right side
    38,859x = 7,181,376,049
  5. Step 5: Solve for x
    x = 7,181,376,049/38,859
  6. Step 6: Final answer
    x = 184,805.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.