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Finding the Third Proportional to 11,941 and 26,069

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Solution

The third proportional to 11,941 and 26,069 is: 56,912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941 : 26,069 = 26,069 : x
  2. Step 2: Convert to fraction form
    11,941/26,069 = 26,069/x
  3. Step 3: Cross multiply
    11,941x = 26,069 × 26,069
  4. Step 4: Simplify right side
    11,941x = 679,592,761
  5. Step 5: Solve for x
    x = 679,592,761/11,941
  6. Step 6: Final answer
    x = 56,912.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.