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Finding the Third Proportional to 15,138 and 33,000.75

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Solution

The third proportional to 15,138 and 33,000.75 is: 71,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138 : 33,000.75 = 33,000.75 : x
  2. Step 2: Convert to fraction form
    15,138/33,000.75 = 33,000.75/x
  3. Step 3: Cross multiply
    15,138x = 33,000.75 × 33,000.75
  4. Step 4: Simplify right side
    15,138x = 1,089,049,500.56
  5. Step 5: Solve for x
    x = 1,089,049,500.56/15,138
  6. Step 6: Final answer
    x = 71,941.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.