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Finding the Third Proportional to 16,758 and 32,670

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Solution

The third proportional to 16,758 and 32,670 is: 63,690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,758 : 32,670 = 32,670 : x
  2. Step 2: Convert to fraction form
    16,758/32,670 = 32,670/x
  3. Step 3: Cross multiply
    16,758x = 32,670 × 32,670
  4. Step 4: Simplify right side
    16,758x = 1,067,328,900
  5. Step 5: Solve for x
    x = 1,067,328,900/16,758
  6. Step 6: Final answer
    x = 63,690.71

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.