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Finding the Third Proportional to 1,841.25 and 2,469.38

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Solution

The third proportional to 1,841.25 and 2,469.38 is: 3,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.25 : 2,469.38 = 2,469.38 : x
  2. Step 2: Convert to fraction form
    1,841.25/2,469.38 = 2,469.38/x
  3. Step 3: Cross multiply
    1,841.25x = 2,469.38 × 2,469.38
  4. Step 4: Simplify right side
    1,841.25x = 6,097,812.89
  5. Step 5: Solve for x
    x = 6,097,812.89/1,841.25
  6. Step 6: Final answer
    x = 3,311.78

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.