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Finding the Third Proportional to 2,708.44 and 4,037.34

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Solution

The third proportional to 2,708.44 and 4,037.34 is: 6,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.44 : 4,037.34 = 4,037.34 : x
  2. Step 2: Convert to fraction form
    2,708.44/4,037.34 = 4,037.34/x
  3. Step 3: Cross multiply
    2,708.44x = 4,037.34 × 4,037.34
  4. Step 4: Simplify right side
    2,708.44x = 16,300,144.56
  5. Step 5: Solve for x
    x = 16,300,144.56/2,708.44
  6. Step 6: Final answer
    x = 6,018.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.