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Finding the Third Proportional to 17,841 and 38,364

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Solution

The third proportional to 17,841 and 38,364 is: 82,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,841 : 38,364 = 38,364 : x
  2. Step 2: Convert to fraction form
    17,841/38,364 = 38,364/x
  3. Step 3: Cross multiply
    17,841x = 38,364 × 38,364
  4. Step 4: Simplify right side
    17,841x = 1,471,796,496
  5. Step 5: Solve for x
    x = 1,471,796,496/17,841
  6. Step 6: Final answer
    x = 82,495.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.