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Finding the Third Proportional to 3,472.50 and 6,418.50

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Solution

The third proportional to 3,472.50 and 6,418.50 is: 11,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.50 : 6,418.50 = 6,418.50 : x
  2. Step 2: Convert to fraction form
    3,472.50/6,418.50 = 6,418.50/x
  3. Step 3: Cross multiply
    3,472.50x = 6,418.50 × 6,418.50
  4. Step 4: Simplify right side
    3,472.50x = 41,197,142.25
  5. Step 5: Solve for x
    x = 41,197,142.25/3,472.50
  6. Step 6: Final answer
    x = 11,863.83

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.