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Finding the Third Proportional to 7,769 and 16,686

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Solution

The third proportional to 7,769 and 16,686 is: 35,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769 : 16,686 = 16,686 : x
  2. Step 2: Convert to fraction form
    7,769/16,686 = 16,686/x
  3. Step 3: Cross multiply
    7,769x = 16,686 × 16,686
  4. Step 4: Simplify right side
    7,769x = 278,422,596
  5. Step 5: Solve for x
    x = 278,422,596/7,769
  6. Step 6: Final answer
    x = 35,837.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.