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Finding the Third Proportional to 5,961.09 and 12,522.09

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Solution

The third proportional to 5,961.09 and 12,522.09 is: 26,304.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.09 : 12,522.09 = 12,522.09 : x
  2. Step 2: Convert to fraction form
    5,961.09/12,522.09 = 12,522.09/x
  3. Step 3: Cross multiply
    5,961.09x = 12,522.09 × 12,522.09
  4. Step 4: Simplify right side
    5,961.09x = 156,802,831.88
  5. Step 5: Solve for x
    x = 156,802,831.88/5,961.09
  6. Step 6: Final answer
    x = 26,304.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.