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Finding the Third Proportional to 1,749 and 3,699

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Solution

The third proportional to 1,749 and 3,699 is: 7,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749 : 3,699 = 3,699 : x
  2. Step 2: Convert to fraction form
    1,749/3,699 = 3,699/x
  3. Step 3: Cross multiply
    1,749x = 3,699 × 3,699
  4. Step 4: Simplify right side
    1,749x = 13,682,601
  5. Step 5: Solve for x
    x = 13,682,601/1,749
  6. Step 6: Final answer
    x = 7,823.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.