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Finding the Third Proportional to 8,284 and 15,668

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Solution

The third proportional to 8,284 and 15,668 is: 29,633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284 : 15,668 = 15,668 : x
  2. Step 2: Convert to fraction form
    8,284/15,668 = 15,668/x
  3. Step 3: Cross multiply
    8,284x = 15,668 × 15,668
  4. Step 4: Simplify right side
    8,284x = 245,486,224
  5. Step 5: Solve for x
    x = 245,486,224/8,284
  6. Step 6: Final answer
    x = 29,633.78

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.