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Finding the Third Proportional to 3,393 and 3,703.50

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Solution

The third proportional to 3,393 and 3,703.50 is: 4,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393 : 3,703.50 = 3,703.50 : x
  2. Step 2: Convert to fraction form
    3,393/3,703.50 = 3,703.50/x
  3. Step 3: Cross multiply
    3,393x = 3,703.50 × 3,703.50
  4. Step 4: Simplify right side
    3,393x = 13,715,912.25
  5. Step 5: Solve for x
    x = 13,715,912.25/3,393
  6. Step 6: Final answer
    x = 4,042.41

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.