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Finding the Third Proportional to 11,024 and 12,008

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Solution

The third proportional to 11,024 and 12,008 is: 13,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,024 : 12,008 = 12,008 : x
  2. Step 2: Convert to fraction form
    11,024/12,008 = 12,008/x
  3. Step 3: Cross multiply
    11,024x = 12,008 × 12,008
  4. Step 4: Simplify right side
    11,024x = 144,192,064
  5. Step 5: Solve for x
    x = 144,192,064/11,024
  6. Step 6: Final answer
    x = 13,079.83

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.