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Finding the Third Proportional to 3,181.78 and 4,108.22

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Solution

The third proportional to 3,181.78 and 4,108.22 is: 5,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.78 : 4,108.22 = 4,108.22 : x
  2. Step 2: Convert to fraction form
    3,181.78/4,108.22 = 4,108.22/x
  3. Step 3: Cross multiply
    3,181.78x = 4,108.22 × 4,108.22
  4. Step 4: Simplify right side
    3,181.78x = 16,877,461.30
  5. Step 5: Solve for x
    x = 16,877,461.30/3,181.78
  6. Step 6: Final answer
    x = 5,304.41

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.