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Finding the Third Proportional to 20,334.38 and 42,224.63

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Solution

The third proportional to 20,334.38 and 42,224.63 is: 87,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,334.38 : 42,224.63 = 42,224.63 : x
  2. Step 2: Convert to fraction form
    20,334.38/42,224.63 = 42,224.63/x
  3. Step 3: Cross multiply
    20,334.38x = 42,224.63 × 42,224.63
  4. Step 4: Simplify right side
    20,334.38x = 1,782,918,956.39
  5. Step 5: Solve for x
    x = 1,782,918,956.39/20,334.38
  6. Step 6: Final answer
    x = 87,680.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.