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Finding the Third Proportional to 11,827.74 and 25,295.73

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Solution

The third proportional to 11,827.74 and 25,295.73 is: 54,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.74 : 25,295.73 = 25,295.73 : x
  2. Step 2: Convert to fraction form
    11,827.74/25,295.73 = 25,295.73/x
  3. Step 3: Cross multiply
    11,827.74x = 25,295.73 × 25,295.73
  4. Step 4: Simplify right side
    11,827.74x = 639,873,979.95
  5. Step 5: Solve for x
    x = 639,873,979.95/11,827.74
  6. Step 6: Final answer
    x = 54,099.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.