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Finding the Third Proportional to 15,024 and 33,003.75

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Solution

The third proportional to 15,024 and 33,003.75 is: 72,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,024 : 33,003.75 = 33,003.75 : x
  2. Step 2: Convert to fraction form
    15,024/33,003.75 = 33,003.75/x
  3. Step 3: Cross multiply
    15,024x = 33,003.75 × 33,003.75
  4. Step 4: Simplify right side
    15,024x = 1,089,247,514.06
  5. Step 5: Solve for x
    x = 1,089,247,514.06/15,024
  6. Step 6: Final answer
    x = 72,500.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.