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Finding the Third Proportional to 11,841.75 and 27,416.25

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Solution

The third proportional to 11,841.75 and 27,416.25 is: 63,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.75 : 27,416.25 = 27,416.25 : x
  2. Step 2: Convert to fraction form
    11,841.75/27,416.25 = 27,416.25/x
  3. Step 3: Cross multiply
    11,841.75x = 27,416.25 × 27,416.25
  4. Step 4: Simplify right side
    11,841.75x = 751,650,764.06
  5. Step 5: Solve for x
    x = 751,650,764.06/11,841.75
  6. Step 6: Final answer
    x = 63,474.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.