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Finding the Third Proportional to 38,494 and 84,344

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Solution

The third proportional to 38,494 and 84,344 is: 184,805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,494 : 84,344 = 84,344 : x
  2. Step 2: Convert to fraction form
    38,494/84,344 = 84,344/x
  3. Step 3: Cross multiply
    38,494x = 84,344 × 84,344
  4. Step 4: Simplify right side
    38,494x = 7,113,910,336
  5. Step 5: Solve for x
    x = 7,113,910,336/38,494
  6. Step 6: Final answer
    x = 184,805.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.