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Finding the Third Proportional to 5,267.44 and 11,309.63

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Solution

The third proportional to 5,267.44 and 11,309.63 is: 24,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.44 : 11,309.63 = 11,309.63 : x
  2. Step 2: Convert to fraction form
    5,267.44/11,309.63 = 11,309.63/x
  3. Step 3: Cross multiply
    5,267.44x = 11,309.63 × 11,309.63
  4. Step 4: Simplify right side
    5,267.44x = 127,907,617.64
  5. Step 5: Solve for x
    x = 127,907,617.64/5,267.44
  6. Step 6: Final answer
    x = 24,282.70

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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.