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Finding the Third Proportional to 27,300 and 38,622

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Solution

The third proportional to 27,300 and 38,622 is: 54,639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300 : 38,622 = 38,622 : x
  2. Step 2: Convert to fraction form
    27,300/38,622 = 38,622/x
  3. Step 3: Cross multiply
    27,300x = 38,622 × 38,622
  4. Step 4: Simplify right side
    27,300x = 1,491,658,884
  5. Step 5: Solve for x
    x = 1,491,658,884/27,300
  6. Step 6: Final answer
    x = 54,639.52

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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.