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Finding the Third Proportional to 6,188.25 and 13,333.50

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Solution

The third proportional to 6,188.25 and 13,333.50 is: 28,729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.25 : 13,333.50 = 13,333.50 : x
  2. Step 2: Convert to fraction form
    6,188.25/13,333.50 = 13,333.50/x
  3. Step 3: Cross multiply
    6,188.25x = 13,333.50 × 13,333.50
  4. Step 4: Simplify right side
    6,188.25x = 177,782,222.25
  5. Step 5: Solve for x
    x = 177,782,222.25/6,188.25
  6. Step 6: Final answer
    x = 28,729.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.