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Finding the Third Proportional to 1,836 and 4,036

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Solution

The third proportional to 1,836 and 4,036 is: 8,872.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836 : 4,036 = 4,036 : x
  2. Step 2: Convert to fraction form
    1,836/4,036 = 4,036/x
  3. Step 3: Cross multiply
    1,836x = 4,036 × 4,036
  4. Step 4: Simplify right side
    1,836x = 16,289,296
  5. Step 5: Solve for x
    x = 16,289,296/1,836
  6. Step 6: Final answer
    x = 8,872.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.