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Finding the Third Proportional to 3,512.06 and 5,266.31

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Solution

The third proportional to 3,512.06 and 5,266.31 is: 7,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.06 : 5,266.31 = 5,266.31 : x
  2. Step 2: Convert to fraction form
    3,512.06/5,266.31 = 5,266.31/x
  3. Step 3: Cross multiply
    3,512.06x = 5,266.31 × 5,266.31
  4. Step 4: Simplify right side
    3,512.06x = 27,734,047.35
  5. Step 5: Solve for x
    x = 27,734,047.35/3,512.06
  6. Step 6: Final answer
    x = 7,896.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.