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Finding the Third Proportional to 27,340 and 59,912

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Solution

The third proportional to 27,340 and 59,912 is: 131,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,340 : 59,912 = 59,912 : x
  2. Step 2: Convert to fraction form
    27,340/59,912 = 59,912/x
  3. Step 3: Cross multiply
    27,340x = 59,912 × 59,912
  4. Step 4: Simplify right side
    27,340x = 3,589,447,744
  5. Step 5: Solve for x
    x = 3,589,447,744/27,340
  6. Step 6: Final answer
    x = 131,289.24

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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.