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Finding the Third Proportional to 27,333 and 58,857.75

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Solution

The third proportional to 27,333 and 58,857.75 is: 126,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,333 : 58,857.75 = 58,857.75 : x
  2. Step 2: Convert to fraction form
    27,333/58,857.75 = 58,857.75/x
  3. Step 3: Cross multiply
    27,333x = 58,857.75 × 58,857.75
  4. Step 4: Simplify right side
    27,333x = 3,464,234,735.06
  5. Step 5: Solve for x
    x = 3,464,234,735.06/27,333
  6. Step 6: Final answer
    x = 126,741.84

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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.