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Finding the Third Proportional to 27,922 and 60,861

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Solution

The third proportional to 27,922 and 60,861 is: 132,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,922 : 60,861 = 60,861 : x
  2. Step 2: Convert to fraction form
    27,922/60,861 = 60,861/x
  3. Step 3: Cross multiply
    27,922x = 60,861 × 60,861
  4. Step 4: Simplify right side
    27,922x = 3,704,061,321
  5. Step 5: Solve for x
    x = 3,704,061,321/27,922
  6. Step 6: Final answer
    x = 132,657.45

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Why These Related Problems?

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