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Finding the Third Proportional to 2,266.84 and 3,467.34

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Solution

The third proportional to 2,266.84 and 3,467.34 is: 5,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.84 : 3,467.34 = 3,467.34 : x
  2. Step 2: Convert to fraction form
    2,266.84/3,467.34 = 3,467.34/x
  3. Step 3: Cross multiply
    2,266.84x = 3,467.34 × 3,467.34
  4. Step 4: Simplify right side
    2,266.84x = 12,022,432.05
  5. Step 5: Solve for x
    x = 12,022,432.05/2,266.84
  6. Step 6: Final answer
    x = 5,303.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.