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Finding the Third Proportional to 5,422 and 11,534

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Solution

The third proportional to 5,422 and 11,534 is: 24,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422 : 11,534 = 11,534 : x
  2. Step 2: Convert to fraction form
    5,422/11,534 = 11,534/x
  3. Step 3: Cross multiply
    5,422x = 11,534 × 11,534
  4. Step 4: Simplify right side
    5,422x = 133,033,156
  5. Step 5: Solve for x
    x = 133,033,156/5,422
  6. Step 6: Final answer
    x = 24,535.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.