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Finding the Third Proportional to 4,682 and 8,668

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Solution

The third proportional to 4,682 and 8,668 is: 16,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682 : 8,668 = 8,668 : x
  2. Step 2: Convert to fraction form
    4,682/8,668 = 8,668/x
  3. Step 3: Cross multiply
    4,682x = 8,668 × 8,668
  4. Step 4: Simplify right side
    4,682x = 75,134,224
  5. Step 5: Solve for x
    x = 75,134,224/4,682
  6. Step 6: Final answer
    x = 16,047.46

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.