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Finding the Third Proportional to 27,020 and 36,375

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Solution

The third proportional to 27,020 and 36,375 is: 48,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,020 : 36,375 = 36,375 : x
  2. Step 2: Convert to fraction form
    27,020/36,375 = 36,375/x
  3. Step 3: Cross multiply
    27,020x = 36,375 × 36,375
  4. Step 4: Simplify right side
    27,020x = 1,323,140,625
  5. Step 5: Solve for x
    x = 1,323,140,625/27,020
  6. Step 6: Final answer
    x = 48,968.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.