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Finding the Third Proportional to 17,319 and 36,941

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Solution

The third proportional to 17,319 and 36,941 is: 78,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,319 : 36,941 = 36,941 : x
  2. Step 2: Convert to fraction form
    17,319/36,941 = 36,941/x
  3. Step 3: Cross multiply
    17,319x = 36,941 × 36,941
  4. Step 4: Simplify right side
    17,319x = 1,364,637,481
  5. Step 5: Solve for x
    x = 1,364,637,481/17,319
  6. Step 6: Final answer
    x = 78,794.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.