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Finding the Third Proportional to 3,740 and 4,109

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Solution

The third proportional to 3,740 and 4,109 is: 4,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740 : 4,109 = 4,109 : x
  2. Step 2: Convert to fraction form
    3,740/4,109 = 4,109/x
  3. Step 3: Cross multiply
    3,740x = 4,109 × 4,109
  4. Step 4: Simplify right side
    3,740x = 16,883,881
  5. Step 5: Solve for x
    x = 16,883,881/3,740
  6. Step 6: Final answer
    x = 4,514.41

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.