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Finding the Third Proportional to 22,012 and 26,455

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Solution

The third proportional to 22,012 and 26,455 is: 31,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,012 : 26,455 = 26,455 : x
  2. Step 2: Convert to fraction form
    22,012/26,455 = 26,455/x
  3. Step 3: Cross multiply
    22,012x = 26,455 × 26,455
  4. Step 4: Simplify right side
    22,012x = 699,867,025
  5. Step 5: Solve for x
    x = 699,867,025/22,012
  6. Step 6: Final answer
    x = 31,794.79

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.