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Finding the Third Proportional to 27,388 and 38,150

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Solution

The third proportional to 27,388 and 38,150 is: 53,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,388 : 38,150 = 38,150 : x
  2. Step 2: Convert to fraction form
    27,388/38,150 = 38,150/x
  3. Step 3: Cross multiply
    27,388x = 38,150 × 38,150
  4. Step 4: Simplify right side
    27,388x = 1,455,422,500
  5. Step 5: Solve for x
    x = 1,455,422,500/27,388
  6. Step 6: Final answer
    x = 53,140.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.