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Finding the Third Proportional to 27,189 and 59,894

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Solution

The third proportional to 27,189 and 59,894 is: 131,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,189 : 59,894 = 59,894 : x
  2. Step 2: Convert to fraction form
    27,189/59,894 = 59,894/x
  3. Step 3: Cross multiply
    27,189x = 59,894 × 59,894
  4. Step 4: Simplify right side
    27,189x = 3,587,291,236
  5. Step 5: Solve for x
    x = 3,587,291,236/27,189
  6. Step 6: Final answer
    x = 131,939.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.