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Finding the Third Proportional to 11,164.35 and 23,947.60

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Solution

The third proportional to 11,164.35 and 23,947.60 is: 51,367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.35 : 23,947.60 = 23,947.60 : x
  2. Step 2: Convert to fraction form
    11,164.35/23,947.60 = 23,947.60/x
  3. Step 3: Cross multiply
    11,164.35x = 23,947.60 × 23,947.60
  4. Step 4: Simplify right side
    11,164.35x = 573,487,667.37
  5. Step 5: Solve for x
    x = 573,487,667.37/11,164.35
  6. Step 6: Final answer
    x = 51,367.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.