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Finding the Third Proportional to 6,059 and 13,309

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Solution

The third proportional to 6,059 and 13,309 is: 29,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059 : 13,309 = 13,309 : x
  2. Step 2: Convert to fraction form
    6,059/13,309 = 13,309/x
  3. Step 3: Cross multiply
    6,059x = 13,309 × 13,309
  4. Step 4: Simplify right side
    6,059x = 177,129,481
  5. Step 5: Solve for x
    x = 177,129,481/6,059
  6. Step 6: Final answer
    x = 29,234.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.