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Finding the Third Proportional to 6,036 and 12,108

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Solution

The third proportional to 6,036 and 12,108 is: 24,288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036 : 12,108 = 12,108 : x
  2. Step 2: Convert to fraction form
    6,036/12,108 = 12,108/x
  3. Step 3: Cross multiply
    6,036x = 12,108 × 12,108
  4. Step 4: Simplify right side
    6,036x = 146,603,664
  5. Step 5: Solve for x
    x = 146,603,664/6,036
  6. Step 6: Final answer
    x = 24,288.21

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.