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Finding the Third Proportional to 27,190 and 57,643

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Solution

The third proportional to 27,190 and 57,643 is: 122,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,190 : 57,643 = 57,643 : x
  2. Step 2: Convert to fraction form
    27,190/57,643 = 57,643/x
  3. Step 3: Cross multiply
    27,190x = 57,643 × 57,643
  4. Step 4: Simplify right side
    27,190x = 3,322,715,449
  5. Step 5: Solve for x
    x = 3,322,715,449/27,190
  6. Step 6: Final answer
    x = 122,203.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.