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Finding the Third Proportional to 27,692 and 60,922

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Solution

The third proportional to 27,692 and 60,922 is: 134,027.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692 : 60,922 = 60,922 : x
  2. Step 2: Convert to fraction form
    27,692/60,922 = 60,922/x
  3. Step 3: Cross multiply
    27,692x = 60,922 × 60,922
  4. Step 4: Simplify right side
    27,692x = 3,711,490,084
  5. Step 5: Solve for x
    x = 3,711,490,084/27,692
  6. Step 6: Final answer
    x = 134,027.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.