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Finding the Third Proportional to 11,253.94 and 27,265.36

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Solution

The third proportional to 11,253.94 and 27,265.36 is: 66,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,253.94 : 27,265.36 = 27,265.36 : x
  2. Step 2: Convert to fraction form
    11,253.94/27,265.36 = 27,265.36/x
  3. Step 3: Cross multiply
    11,253.94x = 27,265.36 × 27,265.36
  4. Step 4: Simplify right side
    11,253.94x = 743,399,821.85
  5. Step 5: Solve for x
    x = 743,399,821.85/11,253.94
  6. Step 6: Final answer
    x = 66,056.86

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.