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Finding the Third Proportional to 21,820.50 and 33,135.75

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Solution

The third proportional to 21,820.50 and 33,135.75 is: 50,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820.50 : 33,135.75 = 33,135.75 : x
  2. Step 2: Convert to fraction form
    21,820.50/33,135.75 = 33,135.75/x
  3. Step 3: Cross multiply
    21,820.50x = 33,135.75 × 33,135.75
  4. Step 4: Simplify right side
    21,820.50x = 1,097,977,928.06
  5. Step 5: Solve for x
    x = 1,097,977,928.06/21,820.50
  6. Step 6: Final answer
    x = 50,318.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.