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Finding the Third Proportional to 20,333.25 and 32,466.38

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Solution

The third proportional to 20,333.25 and 32,466.38 is: 51,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,333.25 : 32,466.38 = 32,466.38 : x
  2. Step 2: Convert to fraction form
    20,333.25/32,466.38 = 32,466.38/x
  3. Step 3: Cross multiply
    20,333.25x = 32,466.38 × 32,466.38
  4. Step 4: Simplify right side
    20,333.25x = 1,054,065,505.64
  5. Step 5: Solve for x
    x = 1,054,065,505.64/20,333.25
  6. Step 6: Final answer
    x = 51,839.50

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.