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Finding the Third Proportional to 13,102 and 18,837

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Solution

The third proportional to 13,102 and 18,837 is: 27,082.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102 : 18,837 = 18,837 : x
  2. Step 2: Convert to fraction form
    13,102/18,837 = 18,837/x
  3. Step 3: Cross multiply
    13,102x = 18,837 × 18,837
  4. Step 4: Simplify right side
    13,102x = 354,832,569
  5. Step 5: Solve for x
    x = 354,832,569/13,102
  6. Step 6: Final answer
    x = 27,082.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.