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Finding the Third Proportional to 20,991 and 32,755.50

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Solution

The third proportional to 20,991 and 32,755.50 is: 51,113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,991 : 32,755.50 = 32,755.50 : x
  2. Step 2: Convert to fraction form
    20,991/32,755.50 = 32,755.50/x
  3. Step 3: Cross multiply
    20,991x = 32,755.50 × 32,755.50
  4. Step 4: Simplify right side
    20,991x = 1,072,922,780.25
  5. Step 5: Solve for x
    x = 1,072,922,780.25/20,991
  6. Step 6: Final answer
    x = 51,113.47

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.