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Finding the Third Proportional to 27,682 and 60,740

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Solution

The third proportional to 27,682 and 60,740 is: 133,276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682 : 60,740 = 60,740 : x
  2. Step 2: Convert to fraction form
    27,682/60,740 = 60,740/x
  3. Step 3: Cross multiply
    27,682x = 60,740 × 60,740
  4. Step 4: Simplify right side
    27,682x = 3,689,347,600
  5. Step 5: Solve for x
    x = 3,689,347,600/27,682
  6. Step 6: Final answer
    x = 133,276.05

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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.