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Finding the Third Proportional to 27,190 and 38,288

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Solution

The third proportional to 27,190 and 38,288 is: 53,915.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,190 : 38,288 = 38,288 : x
  2. Step 2: Convert to fraction form
    27,190/38,288 = 38,288/x
  3. Step 3: Cross multiply
    27,190x = 38,288 × 38,288
  4. Step 4: Simplify right side
    27,190x = 1,465,970,944
  5. Step 5: Solve for x
    x = 1,465,970,944/27,190
  6. Step 6: Final answer
    x = 53,915.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.