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Finding the Third Proportional to 27,763 and 60,704

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Solution

The third proportional to 27,763 and 60,704 is: 132,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,763 : 60,704 = 60,704 : x
  2. Step 2: Convert to fraction form
    27,763/60,704 = 60,704/x
  3. Step 3: Cross multiply
    27,763x = 60,704 × 60,704
  4. Step 4: Simplify right side
    27,763x = 3,684,975,616
  5. Step 5: Solve for x
    x = 3,684,975,616/27,763
  6. Step 6: Final answer
    x = 132,729.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.