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Finding the Third Proportional to 20,783.25 and 42,791.63

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Solution

The third proportional to 20,783.25 and 42,791.63 is: 88,105.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.25 : 42,791.63 = 42,791.63 : x
  2. Step 2: Convert to fraction form
    20,783.25/42,791.63 = 42,791.63/x
  3. Step 3: Cross multiply
    20,783.25x = 42,791.63 × 42,791.63
  4. Step 4: Simplify right side
    20,783.25x = 1,831,123,170.14
  5. Step 5: Solve for x
    x = 1,831,123,170.14/20,783.25
  6. Step 6: Final answer
    x = 88,105.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.