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Finding the Third Proportional to 23,432.44 and 50,327.81

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Solution

The third proportional to 23,432.44 and 50,327.81 is: 108,093.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,432.44 : 50,327.81 = 50,327.81 : x
  2. Step 2: Convert to fraction form
    23,432.44/50,327.81 = 50,327.81/x
  3. Step 3: Cross multiply
    23,432.44x = 50,327.81 × 50,327.81
  4. Step 4: Simplify right side
    23,432.44x = 2,532,888,711.04
  5. Step 5: Solve for x
    x = 2,532,888,711.04/23,432.44
  6. Step 6: Final answer
    x = 108,093.27

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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.