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Finding the Third Proportional to 6,099 and 11,586

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Solution

The third proportional to 6,099 and 11,586 is: 22,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099 : 11,586 = 11,586 : x
  2. Step 2: Convert to fraction form
    6,099/11,586 = 11,586/x
  3. Step 3: Cross multiply
    6,099x = 11,586 × 11,586
  4. Step 4: Simplify right side
    6,099x = 134,235,396
  5. Step 5: Solve for x
    x = 134,235,396/6,099
  6. Step 6: Final answer
    x = 22,009.41

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.