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Finding the Third Proportional to 5,468.25 and 12,804.75

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Solution

The third proportional to 5,468.25 and 12,804.75 is: 29,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.25 : 12,804.75 = 12,804.75 : x
  2. Step 2: Convert to fraction form
    5,468.25/12,804.75 = 12,804.75/x
  3. Step 3: Cross multiply
    5,468.25x = 12,804.75 × 12,804.75
  4. Step 4: Simplify right side
    5,468.25x = 163,961,622.56
  5. Step 5: Solve for x
    x = 163,961,622.56/5,468.25
  6. Step 6: Final answer
    x = 29,984.30

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.