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Finding the Third Proportional to 3,740 and 7,168

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Solution

The third proportional to 3,740 and 7,168 is: 13,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740 : 7,168 = 7,168 : x
  2. Step 2: Convert to fraction form
    3,740/7,168 = 7,168/x
  3. Step 3: Cross multiply
    3,740x = 7,168 × 7,168
  4. Step 4: Simplify right side
    3,740x = 51,380,224
  5. Step 5: Solve for x
    x = 51,380,224/3,740
  6. Step 6: Final answer
    x = 13,738.03

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.