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Finding the Third Proportional to 11,845 and 27,424.50

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Solution

The third proportional to 11,845 and 27,424.50 is: 63,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,845 : 27,424.50 = 27,424.50 : x
  2. Step 2: Convert to fraction form
    11,845/27,424.50 = 27,424.50/x
  3. Step 3: Cross multiply
    11,845x = 27,424.50 × 27,424.50
  4. Step 4: Simplify right side
    11,845x = 752,103,200.25
  5. Step 5: Solve for x
    x = 752,103,200.25/11,845
  6. Step 6: Final answer
    x = 63,495.42

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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.