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Finding the Third Proportional to 20,383.31 and 41,342.91

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Solution

The third proportional to 20,383.31 and 41,342.91 is: 83,854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,383.31 : 41,342.91 = 41,342.91 : x
  2. Step 2: Convert to fraction form
    20,383.31/41,342.91 = 41,342.91/x
  3. Step 3: Cross multiply
    20,383.31x = 41,342.91 × 41,342.91
  4. Step 4: Simplify right side
    20,383.31x = 1,709,235,897.20
  5. Step 5: Solve for x
    x = 1,709,235,897.20/20,383.31
  6. Step 6: Final answer
    x = 83,854.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.