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Finding the Third Proportional to 27,200 and 38,240

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Solution

The third proportional to 27,200 and 38,240 is: 53,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200 : 38,240 = 38,240 : x
  2. Step 2: Convert to fraction form
    27,200/38,240 = 38,240/x
  3. Step 3: Cross multiply
    27,200x = 38,240 × 38,240
  4. Step 4: Simplify right side
    27,200x = 1,462,297,600
  5. Step 5: Solve for x
    x = 1,462,297,600/27,200
  6. Step 6: Final answer
    x = 53,760.94

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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.