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Finding the Third Proportional to 38,519 and 84,391

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Solution

The third proportional to 38,519 and 84,391 is: 184,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,519 : 84,391 = 84,391 : x
  2. Step 2: Convert to fraction form
    38,519/84,391 = 84,391/x
  3. Step 3: Cross multiply
    38,519x = 84,391 × 84,391
  4. Step 4: Simplify right side
    38,519x = 7,121,840,881
  5. Step 5: Solve for x
    x = 7,121,840,881/38,519
  6. Step 6: Final answer
    x = 184,891.63

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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.