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Finding the Third Proportional to 1,836 and 3,969

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Solution

The third proportional to 1,836 and 3,969 is: 8,580.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836 : 3,969 = 3,969 : x
  2. Step 2: Convert to fraction form
    1,836/3,969 = 3,969/x
  3. Step 3: Cross multiply
    1,836x = 3,969 × 3,969
  4. Step 4: Simplify right side
    1,836x = 15,752,961
  5. Step 5: Solve for x
    x = 15,752,961/1,836
  6. Step 6: Final answer
    x = 8,580.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.