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Finding the Third Proportional to 20,512.13 and 42,445.97

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Solution

The third proportional to 20,512.13 and 42,445.97 is: 87,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.13 : 42,445.97 = 42,445.97 : x
  2. Step 2: Convert to fraction form
    20,512.13/42,445.97 = 42,445.97/x
  3. Step 3: Cross multiply
    20,512.13x = 42,445.97 × 42,445.97
  4. Step 4: Simplify right side
    20,512.13x = 1,801,660,263.13
  5. Step 5: Solve for x
    x = 1,801,660,263.13/20,512.13
  6. Step 6: Final answer
    x = 87,833.92

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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.