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Finding the Third Proportional to 7,757 and 16,169

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Solution

The third proportional to 7,757 and 16,169 is: 33,703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757 : 16,169 = 16,169 : x
  2. Step 2: Convert to fraction form
    7,757/16,169 = 16,169/x
  3. Step 3: Cross multiply
    7,757x = 16,169 × 16,169
  4. Step 4: Simplify right side
    7,757x = 261,436,561
  5. Step 5: Solve for x
    x = 261,436,561/7,757
  6. Step 6: Final answer
    x = 33,703.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.