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Finding the Third Proportional to 20,840.50 and 27,372.50

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Solution

The third proportional to 20,840.50 and 27,372.50 is: 35,951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,840.50 : 27,372.50 = 27,372.50 : x
  2. Step 2: Convert to fraction form
    20,840.50/27,372.50 = 27,372.50/x
  3. Step 3: Cross multiply
    20,840.50x = 27,372.50 × 27,372.50
  4. Step 4: Simplify right side
    20,840.50x = 749,253,756.25
  5. Step 5: Solve for x
    x = 749,253,756.25/20,840.50
  6. Step 6: Final answer
    x = 35,951.81

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.