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Finding the Third Proportional to 11,538 and 18,522

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Solution

The third proportional to 11,538 and 18,522 is: 29,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538 : 18,522 = 18,522 : x
  2. Step 2: Convert to fraction form
    11,538/18,522 = 18,522/x
  3. Step 3: Cross multiply
    11,538x = 18,522 × 18,522
  4. Step 4: Simplify right side
    11,538x = 343,064,484
  5. Step 5: Solve for x
    x = 343,064,484/11,538
  6. Step 6: Final answer
    x = 29,733.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.