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Finding the Third Proportional to 3,749 and 5,821

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Solution

The third proportional to 3,749 and 5,821 is: 9,038.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749 : 5,821 = 5,821 : x
  2. Step 2: Convert to fraction form
    3,749/5,821 = 5,821/x
  3. Step 3: Cross multiply
    3,749x = 5,821 × 5,821
  4. Step 4: Simplify right side
    3,749x = 33,884,041
  5. Step 5: Solve for x
    x = 33,884,041/3,749
  6. Step 6: Final answer
    x = 9,038.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.