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Finding the Third Proportional to 6,029.50 and 9,591.50

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Solution

The third proportional to 6,029.50 and 9,591.50 is: 15,257.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.50 : 9,591.50 = 9,591.50 : x
  2. Step 2: Convert to fraction form
    6,029.50/9,591.50 = 9,591.50/x
  3. Step 3: Cross multiply
    6,029.50x = 9,591.50 × 9,591.50
  4. Step 4: Simplify right side
    6,029.50x = 91,996,872.25
  5. Step 5: Solve for x
    x = 91,996,872.25/6,029.50
  6. Step 6: Final answer
    x = 15,257.79

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.