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Finding the Third Proportional to 6,665 and 13,559

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Solution

The third proportional to 6,665 and 13,559 is: 27,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665 : 13,559 = 13,559 : x
  2. Step 2: Convert to fraction form
    6,665/13,559 = 13,559/x
  3. Step 3: Cross multiply
    6,665x = 13,559 × 13,559
  4. Step 4: Simplify right side
    6,665x = 183,846,481
  5. Step 5: Solve for x
    x = 183,846,481/6,665
  6. Step 6: Final answer
    x = 27,583.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.