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Finding the Third Proportional to 7,668 and 15,826

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Solution

The third proportional to 7,668 and 15,826 is: 32,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668 : 15,826 = 15,826 : x
  2. Step 2: Convert to fraction form
    7,668/15,826 = 15,826/x
  3. Step 3: Cross multiply
    7,668x = 15,826 × 15,826
  4. Step 4: Simplify right side
    7,668x = 250,462,276
  5. Step 5: Solve for x
    x = 250,462,276/7,668
  6. Step 6: Final answer
    x = 32,663.31

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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.