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Finding the Third Proportional to 20,512.41 and 42,446.53

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Solution

The third proportional to 20,512.41 and 42,446.53 is: 87,835.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.41 : 42,446.53 = 42,446.53 : x
  2. Step 2: Convert to fraction form
    20,512.41/42,446.53 = 42,446.53/x
  3. Step 3: Cross multiply
    20,512.41x = 42,446.53 × 42,446.53
  4. Step 4: Simplify right side
    20,512.41x = 1,801,708,015.16
  5. Step 5: Solve for x
    x = 1,801,708,015.16/20,512.41
  6. Step 6: Final answer
    x = 87,835.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.