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Finding the Third Proportional to 17,977 and 36,670

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Solution

The third proportional to 17,977 and 36,670 is: 74,800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977 : 36,670 = 36,670 : x
  2. Step 2: Convert to fraction form
    17,977/36,670 = 36,670/x
  3. Step 3: Cross multiply
    17,977x = 36,670 × 36,670
  4. Step 4: Simplify right side
    17,977x = 1,344,688,900
  5. Step 5: Solve for x
    x = 1,344,688,900/17,977
  6. Step 6: Final answer
    x = 74,800.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.