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Finding the Third Proportional to 3,782 and 5,301

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Solution

The third proportional to 3,782 and 5,301 is: 7,430.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782 : 5,301 = 5,301 : x
  2. Step 2: Convert to fraction form
    3,782/5,301 = 5,301/x
  3. Step 3: Cross multiply
    3,782x = 5,301 × 5,301
  4. Step 4: Simplify right side
    3,782x = 28,100,601
  5. Step 5: Solve for x
    x = 28,100,601/3,782
  6. Step 6: Final answer
    x = 7,430.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.