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Finding the Third Proportional to 7,422 and 13,836

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Solution

The third proportional to 7,422 and 13,836 is: 25,792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422 : 13,836 = 13,836 : x
  2. Step 2: Convert to fraction form
    7,422/13,836 = 13,836/x
  3. Step 3: Cross multiply
    7,422x = 13,836 × 13,836
  4. Step 4: Simplify right side
    7,422x = 191,434,896
  5. Step 5: Solve for x
    x = 191,434,896/7,422
  6. Step 6: Final answer
    x = 25,792.90

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.