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Finding the Third Proportional to 20,996.50 and 32,509

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Solution

The third proportional to 20,996.50 and 32,509 is: 50,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996.50 : 32,509 = 32,509 : x
  2. Step 2: Convert to fraction form
    20,996.50/32,509 = 32,509/x
  3. Step 3: Cross multiply
    20,996.50x = 32,509 × 32,509
  4. Step 4: Simplify right side
    20,996.50x = 1,056,835,081
  5. Step 5: Solve for x
    x = 1,056,835,081/20,996.50
  6. Step 6: Final answer
    x = 50,333.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.