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Finding the Third Proportional to 27,794 and 57,532

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Solution

The third proportional to 27,794 and 57,532 is: 119,087.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794 : 57,532 = 57,532 : x
  2. Step 2: Convert to fraction form
    27,794/57,532 = 57,532/x
  3. Step 3: Cross multiply
    27,794x = 57,532 × 57,532
  4. Step 4: Simplify right side
    27,794x = 3,309,931,024
  5. Step 5: Solve for x
    x = 3,309,931,024/27,794
  6. Step 6: Final answer
    x = 119,087.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.