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Finding the Third Proportional to 15,854 and 32,668

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Solution

The third proportional to 15,854 and 32,668 is: 67,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854 : 32,668 = 32,668 : x
  2. Step 2: Convert to fraction form
    15,854/32,668 = 32,668/x
  3. Step 3: Cross multiply
    15,854x = 32,668 × 32,668
  4. Step 4: Simplify right side
    15,854x = 1,067,198,224
  5. Step 5: Solve for x
    x = 1,067,198,224/15,854
  6. Step 6: Final answer
    x = 67,314.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.