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Finding the Third Proportional to 20,077.88 and 30,086.44

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Solution

The third proportional to 20,077.88 and 30,086.44 is: 45,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.88 : 30,086.44 = 30,086.44 : x
  2. Step 2: Convert to fraction form
    20,077.88/30,086.44 = 30,086.44/x
  3. Step 3: Cross multiply
    20,077.88x = 30,086.44 × 30,086.44
  4. Step 4: Simplify right side
    20,077.88x = 905,193,721.44
  5. Step 5: Solve for x
    x = 905,193,721.44/20,077.88
  6. Step 6: Final answer
    x = 45,084.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.