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Finding the Third Proportional to 15,969 and 33,591.50

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Solution

The third proportional to 15,969 and 33,591.50 is: 70,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969 : 33,591.50 = 33,591.50 : x
  2. Step 2: Convert to fraction form
    15,969/33,591.50 = 33,591.50/x
  3. Step 3: Cross multiply
    15,969x = 33,591.50 × 33,591.50
  4. Step 4: Simplify right side
    15,969x = 1,128,388,872.25
  5. Step 5: Solve for x
    x = 1,128,388,872.25/15,969
  6. Step 6: Final answer
    x = 70,661.21

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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.