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Finding the Third Proportional to 3,780 and 7,164

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Solution

The third proportional to 3,780 and 7,164 is: 13,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 7,164 = 7,164 : x
  2. Step 2: Convert to fraction form
    3,780/7,164 = 7,164/x
  3. Step 3: Cross multiply
    3,780x = 7,164 × 7,164
  4. Step 4: Simplify right side
    3,780x = 51,322,896
  5. Step 5: Solve for x
    x = 51,322,896/3,780
  6. Step 6: Final answer
    x = 13,577.49

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.