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Finding the Third Proportional to 11,832.75 and 27,394.88

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Solution

The third proportional to 11,832.75 and 27,394.88 is: 63,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.75 : 27,394.88 = 27,394.88 : x
  2. Step 2: Convert to fraction form
    11,832.75/27,394.88 = 27,394.88/x
  3. Step 3: Cross multiply
    11,832.75x = 27,394.88 × 27,394.88
  4. Step 4: Simplify right side
    11,832.75x = 750,479,176.27
  5. Step 5: Solve for x
    x = 750,479,176.27/11,832.75
  6. Step 6: Final answer
    x = 63,423.90

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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.