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Finding the Third Proportional to 1,836 and 4,446

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Solution

The third proportional to 1,836 and 4,446 is: 10,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836 : 4,446 = 4,446 : x
  2. Step 2: Convert to fraction form
    1,836/4,446 = 4,446/x
  3. Step 3: Cross multiply
    1,836x = 4,446 × 4,446
  4. Step 4: Simplify right side
    1,836x = 19,766,916
  5. Step 5: Solve for x
    x = 19,766,916/1,836
  6. Step 6: Final answer
    x = 10,766.29

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.