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Finding the Third Proportional to 10,238 and 18,368

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Solution

The third proportional to 10,238 and 18,368 is: 32,954.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238 : 18,368 = 18,368 : x
  2. Step 2: Convert to fraction form
    10,238/18,368 = 18,368/x
  3. Step 3: Cross multiply
    10,238x = 18,368 × 18,368
  4. Step 4: Simplify right side
    10,238x = 337,383,424
  5. Step 5: Solve for x
    x = 337,383,424/10,238
  6. Step 6: Final answer
    x = 32,954.04

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.