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Finding the Third Proportional to 3,240.56 and 4,271.06

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Solution

The third proportional to 3,240.56 and 4,271.06 is: 5,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240.56 : 4,271.06 = 4,271.06 : x
  2. Step 2: Convert to fraction form
    3,240.56/4,271.06 = 4,271.06/x
  3. Step 3: Cross multiply
    3,240.56x = 4,271.06 × 4,271.06
  4. Step 4: Simplify right side
    3,240.56x = 18,241,974.88
  5. Step 5: Solve for x
    x = 18,241,974.88/3,240.56
  6. Step 6: Final answer
    x = 5,629.26

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.