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Finding the Third Proportional to 5,112.49 and 8,121.52

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Solution

The third proportional to 5,112.49 and 8,121.52 is: 12,901.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.49 : 8,121.52 = 8,121.52 : x
  2. Step 2: Convert to fraction form
    5,112.49/8,121.52 = 8,121.52/x
  3. Step 3: Cross multiply
    5,112.49x = 8,121.52 × 8,121.52
  4. Step 4: Simplify right side
    5,112.49x = 65,959,016.05
  5. Step 5: Solve for x
    x = 65,959,016.05/5,112.49
  6. Step 6: Final answer
    x = 12,901.54

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.