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Finding the Third Proportional to 13,838 and 21,165

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Solution

The third proportional to 13,838 and 21,165 is: 32,371.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838 : 21,165 = 21,165 : x
  2. Step 2: Convert to fraction form
    13,838/21,165 = 21,165/x
  3. Step 3: Cross multiply
    13,838x = 21,165 × 21,165
  4. Step 4: Simplify right side
    13,838x = 447,957,225
  5. Step 5: Solve for x
    x = 447,957,225/13,838
  6. Step 6: Final answer
    x = 32,371.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.