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Finding the Third Proportional to 2,600.44 and 3,913.03

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Solution

The third proportional to 2,600.44 and 3,913.03 is: 5,888.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.44 : 3,913.03 = 3,913.03 : x
  2. Step 2: Convert to fraction form
    2,600.44/3,913.03 = 3,913.03/x
  3. Step 3: Cross multiply
    2,600.44x = 3,913.03 × 3,913.03
  4. Step 4: Simplify right side
    2,600.44x = 15,311,813.56
  5. Step 5: Solve for x
    x = 15,311,813.56/2,600.44
  6. Step 6: Final answer
    x = 5,888.17

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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.