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Finding the Third Proportional to 27,271 and 36,647

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Solution

The third proportional to 27,271 and 36,647 is: 49,246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,271 : 36,647 = 36,647 : x
  2. Step 2: Convert to fraction form
    27,271/36,647 = 36,647/x
  3. Step 3: Cross multiply
    27,271x = 36,647 × 36,647
  4. Step 4: Simplify right side
    27,271x = 1,343,002,609
  5. Step 5: Solve for x
    x = 1,343,002,609/27,271
  6. Step 6: Final answer
    x = 49,246.55

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.