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Finding the Third Proportional to 6,733.97 and 14,804.72

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Solution

The third proportional to 6,733.97 and 14,804.72 is: 32,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.97 : 14,804.72 = 14,804.72 : x
  2. Step 2: Convert to fraction form
    6,733.97/14,804.72 = 14,804.72/x
  3. Step 3: Cross multiply
    6,733.97x = 14,804.72 × 14,804.72
  4. Step 4: Simplify right side
    6,733.97x = 219,179,697.27
  5. Step 5: Solve for x
    x = 219,179,697.27/6,733.97
  6. Step 6: Final answer
    x = 32,548.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.