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Finding the Third Proportional to 2,600.96 and 3,966.36

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Solution

The third proportional to 2,600.96 and 3,966.36 is: 6,048.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.96 : 3,966.36 = 3,966.36 : x
  2. Step 2: Convert to fraction form
    2,600.96/3,966.36 = 3,966.36/x
  3. Step 3: Cross multiply
    2,600.96x = 3,966.36 × 3,966.36
  4. Step 4: Simplify right side
    2,600.96x = 15,732,037.68
  5. Step 5: Solve for x
    x = 15,732,037.68/2,600.96
  6. Step 6: Final answer
    x = 6,048.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.