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Finding the Third Proportional to 15,694 and 33,003.50

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Solution

The third proportional to 15,694 and 33,003.50 is: 69,404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694 : 33,003.50 = 33,003.50 : x
  2. Step 2: Convert to fraction form
    15,694/33,003.50 = 33,003.50/x
  3. Step 3: Cross multiply
    15,694x = 33,003.50 × 33,003.50
  4. Step 4: Simplify right side
    15,694x = 1,089,231,012.25
  5. Step 5: Solve for x
    x = 1,089,231,012.25/15,694
  6. Step 6: Final answer
    x = 69,404.30

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.