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Finding the Third Proportional to 17,348 and 37,329

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Solution

The third proportional to 17,348 and 37,329 is: 80,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,348 : 37,329 = 37,329 : x
  2. Step 2: Convert to fraction form
    17,348/37,329 = 37,329/x
  3. Step 3: Cross multiply
    17,348x = 37,329 × 37,329
  4. Step 4: Simplify right side
    17,348x = 1,393,454,241
  5. Step 5: Solve for x
    x = 1,393,454,241/17,348
  6. Step 6: Final answer
    x = 80,323.62

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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.