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Finding the Third Proportional to 11,967.75 and 26,532.56

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Solution

The third proportional to 11,967.75 and 26,532.56 is: 58,822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.75 : 26,532.56 = 26,532.56 : x
  2. Step 2: Convert to fraction form
    11,967.75/26,532.56 = 26,532.56/x
  3. Step 3: Cross multiply
    11,967.75x = 26,532.56 × 26,532.56
  4. Step 4: Simplify right side
    11,967.75x = 703,976,872.82
  5. Step 5: Solve for x
    x = 703,976,872.82/11,967.75
  6. Step 6: Final answer
    x = 58,822.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.