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Finding the Third Proportional to 1,829 and 3,271

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Solution

The third proportional to 1,829 and 3,271 is: 5,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829 : 3,271 = 3,271 : x
  2. Step 2: Convert to fraction form
    1,829/3,271 = 3,271/x
  3. Step 3: Cross multiply
    1,829x = 3,271 × 3,271
  4. Step 4: Simplify right side
    1,829x = 10,699,441
  5. Step 5: Solve for x
    x = 10,699,441/1,829
  6. Step 6: Final answer
    x = 5,849.89

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.