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Finding the Third Proportional to 17,257 and 36,974

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Solution

The third proportional to 17,257 and 36,974 is: 79,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257 : 36,974 = 36,974 : x
  2. Step 2: Convert to fraction form
    17,257/36,974 = 36,974/x
  3. Step 3: Cross multiply
    17,257x = 36,974 × 36,974
  4. Step 4: Simplify right side
    17,257x = 1,367,076,676
  5. Step 5: Solve for x
    x = 1,367,076,676/17,257
  6. Step 6: Final answer
    x = 79,218.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.