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Finding the Third Proportional to 6,606 and 13,765

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Solution

The third proportional to 6,606 and 13,765 is: 28,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,606 : 13,765 = 13,765 : x
  2. Step 2: Convert to fraction form
    6,606/13,765 = 13,765/x
  3. Step 3: Cross multiply
    6,606x = 13,765 × 13,765
  4. Step 4: Simplify right side
    6,606x = 189,475,225
  5. Step 5: Solve for x
    x = 189,475,225/6,606
  6. Step 6: Final answer
    x = 28,682.29

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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.