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Finding the Third Proportional to 27,000 and 38,052

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Solution

The third proportional to 27,000 and 38,052 is: 53,627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,000 : 38,052 = 38,052 : x
  2. Step 2: Convert to fraction form
    27,000/38,052 = 38,052/x
  3. Step 3: Cross multiply
    27,000x = 38,052 × 38,052
  4. Step 4: Simplify right side
    27,000x = 1,447,954,704
  5. Step 5: Solve for x
    x = 1,447,954,704/27,000
  6. Step 6: Final answer
    x = 53,627.95

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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.