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Finding the Third Proportional to 27,400 and 59,744

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Solution

The third proportional to 27,400 and 59,744 is: 130,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,400 : 59,744 = 59,744 : x
  2. Step 2: Convert to fraction form
    27,400/59,744 = 59,744/x
  3. Step 3: Cross multiply
    27,400x = 59,744 × 59,744
  4. Step 4: Simplify right side
    27,400x = 3,569,345,536
  5. Step 5: Solve for x
    x = 3,569,345,536/27,400
  6. Step 6: Final answer
    x = 130,268.09

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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.