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Finding the Third Proportional to 27,740 and 57,745

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Solution

The third proportional to 27,740 and 57,745 is: 120,204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740 : 57,745 = 57,745 : x
  2. Step 2: Convert to fraction form
    27,740/57,745 = 57,745/x
  3. Step 3: Cross multiply
    27,740x = 57,745 × 57,745
  4. Step 4: Simplify right side
    27,740x = 3,334,485,025
  5. Step 5: Solve for x
    x = 3,334,485,025/27,740
  6. Step 6: Final answer
    x = 120,204.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.