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Finding the Third Proportional to 20,524.31 and 44,214.81

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Solution

The third proportional to 20,524.31 and 44,214.81 is: 95,250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.31 : 44,214.81 = 44,214.81 : x
  2. Step 2: Convert to fraction form
    20,524.31/44,214.81 = 44,214.81/x
  3. Step 3: Cross multiply
    20,524.31x = 44,214.81 × 44,214.81
  4. Step 4: Simplify right side
    20,524.31x = 1,954,949,644.41
  5. Step 5: Solve for x
    x = 1,954,949,644.41/20,524.31
  6. Step 6: Final answer
    x = 95,250.43

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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.