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Finding the Third Proportional to 16,974 and 36,850

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Solution

The third proportional to 16,974 and 36,850 is: 80,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974 : 36,850 = 36,850 : x
  2. Step 2: Convert to fraction form
    16,974/36,850 = 36,850/x
  3. Step 3: Cross multiply
    16,974x = 36,850 × 36,850
  4. Step 4: Simplify right side
    16,974x = 1,357,922,500
  5. Step 5: Solve for x
    x = 1,357,922,500/16,974
  6. Step 6: Final answer
    x = 80,000.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.