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Finding the Third Proportional to 27,200 and 37,520

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Solution

The third proportional to 27,200 and 37,520 is: 51,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200 : 37,520 = 37,520 : x
  2. Step 2: Convert to fraction form
    27,200/37,520 = 37,520/x
  3. Step 3: Cross multiply
    27,200x = 37,520 × 37,520
  4. Step 4: Simplify right side
    27,200x = 1,407,750,400
  5. Step 5: Solve for x
    x = 1,407,750,400/27,200
  6. Step 6: Final answer
    x = 51,755.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.