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Finding the Third Proportional to 17,859 and 38,409

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Solution

The third proportional to 17,859 and 38,409 is: 82,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,859 : 38,409 = 38,409 : x
  2. Step 2: Convert to fraction form
    17,859/38,409 = 38,409/x
  3. Step 3: Cross multiply
    17,859x = 38,409 × 38,409
  4. Step 4: Simplify right side
    17,859x = 1,475,251,281
  5. Step 5: Solve for x
    x = 1,475,251,281/17,859
  6. Step 6: Final answer
    x = 82,605.48

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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.