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Finding the Third Proportional to 3,612.94 and 5,395.78

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Solution

The third proportional to 3,612.94 and 5,395.78 is: 8,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.94 : 5,395.78 = 5,395.78 : x
  2. Step 2: Convert to fraction form
    3,612.94/5,395.78 = 5,395.78/x
  3. Step 3: Cross multiply
    3,612.94x = 5,395.78 × 5,395.78
  4. Step 4: Simplify right side
    3,612.94x = 29,114,455.30
  5. Step 5: Solve for x
    x = 29,114,455.30/3,612.94
  6. Step 6: Final answer
    x = 8,058.39

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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.