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Finding the Third Proportional to 27,659 and 57,577

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Solution

The third proportional to 27,659 and 57,577 is: 119,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,659 : 57,577 = 57,577 : x
  2. Step 2: Convert to fraction form
    27,659/57,577 = 57,577/x
  3. Step 3: Cross multiply
    27,659x = 57,577 × 57,577
  4. Step 4: Simplify right side
    27,659x = 3,315,110,929
  5. Step 5: Solve for x
    x = 3,315,110,929/27,659
  6. Step 6: Final answer
    x = 119,856.50

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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.