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Finding the Third Proportional to 20,272.88 and 30,327.75

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Solution

The third proportional to 20,272.88 and 30,327.75 is: 45,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,272.88 : 30,327.75 = 30,327.75 : x
  2. Step 2: Convert to fraction form
    20,272.88/30,327.75 = 30,327.75/x
  3. Step 3: Cross multiply
    20,272.88x = 30,327.75 × 30,327.75
  4. Step 4: Simplify right side
    20,272.88x = 919,772,420.06
  5. Step 5: Solve for x
    x = 919,772,420.06/20,272.88
  6. Step 6: Final answer
    x = 45,369.61

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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.