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Finding the Third Proportional to 27,911 and 60,754

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Solution

The third proportional to 27,911 and 60,754 is: 132,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911 : 60,754 = 60,754 : x
  2. Step 2: Convert to fraction form
    27,911/60,754 = 60,754/x
  3. Step 3: Cross multiply
    27,911x = 60,754 × 60,754
  4. Step 4: Simplify right side
    27,911x = 3,691,048,516
  5. Step 5: Solve for x
    x = 3,691,048,516/27,911
  6. Step 6: Final answer
    x = 132,243.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.