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Finding the Third Proportional to 27,121.50 and 57,657

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Solution

The third proportional to 27,121.50 and 57,657 is: 122,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,121.50 : 57,657 = 57,657 : x
  2. Step 2: Convert to fraction form
    27,121.50/57,657 = 57,657/x
  3. Step 3: Cross multiply
    27,121.50x = 57,657 × 57,657
  4. Step 4: Simplify right side
    27,121.50x = 3,324,329,649
  5. Step 5: Solve for x
    x = 3,324,329,649/27,121.50
  6. Step 6: Final answer
    x = 122,571.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.