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Finding the Third Proportional to 7,686 and 16,596

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Solution

The third proportional to 7,686 and 16,596 is: 35,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686 : 16,596 = 16,596 : x
  2. Step 2: Convert to fraction form
    7,686/16,596 = 16,596/x
  3. Step 3: Cross multiply
    7,686x = 16,596 × 16,596
  4. Step 4: Simplify right side
    7,686x = 275,427,216
  5. Step 5: Solve for x
    x = 275,427,216/7,686
  6. Step 6: Final answer
    x = 35,834.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.