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Finding the Third Proportional to 6,267.22 and 13,059.83

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Solution

The third proportional to 6,267.22 and 13,059.83 is: 27,214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.22 : 13,059.83 = 13,059.83 : x
  2. Step 2: Convert to fraction form
    6,267.22/13,059.83 = 13,059.83/x
  3. Step 3: Cross multiply
    6,267.22x = 13,059.83 × 13,059.83
  4. Step 4: Simplify right side
    6,267.22x = 170,559,059.64
  5. Step 5: Solve for x
    x = 170,559,059.64/6,267.22
  6. Step 6: Final answer
    x = 27,214.48

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.