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Finding the Third Proportional to 7,670 and 16,742

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Solution

The third proportional to 7,670 and 16,742 is: 36,544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670 : 16,742 = 16,742 : x
  2. Step 2: Convert to fraction form
    7,670/16,742 = 16,742/x
  3. Step 3: Cross multiply
    7,670x = 16,742 × 16,742
  4. Step 4: Simplify right side
    7,670x = 280,294,564
  5. Step 5: Solve for x
    x = 280,294,564/7,670
  6. Step 6: Final answer
    x = 36,544.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.