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Finding the Third Proportional to 32,028.75 and 44,732.25

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Solution

The third proportional to 32,028.75 and 44,732.25 is: 62,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,028.75 : 44,732.25 = 44,732.25 : x
  2. Step 2: Convert to fraction form
    32,028.75/44,732.25 = 44,732.25/x
  3. Step 3: Cross multiply
    32,028.75x = 44,732.25 × 44,732.25
  4. Step 4: Simplify right side
    32,028.75x = 2,000,974,190.06
  5. Step 5: Solve for x
    x = 2,000,974,190.06/32,028.75
  6. Step 6: Final answer
    x = 62,474.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.