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Finding the Third Proportional to 27,409 and 58,975

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Solution

The third proportional to 27,409 and 58,975 is: 126,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409 : 58,975 = 58,975 : x
  2. Step 2: Convert to fraction form
    27,409/58,975 = 58,975/x
  3. Step 3: Cross multiply
    27,409x = 58,975 × 58,975
  4. Step 4: Simplify right side
    27,409x = 3,478,050,625
  5. Step 5: Solve for x
    x = 3,478,050,625/27,409
  6. Step 6: Final answer
    x = 126,894.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.