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Finding the Third Proportional to 1,827 and 3,783

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Solution

The third proportional to 1,827 and 3,783 is: 7,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827 : 3,783 = 3,783 : x
  2. Step 2: Convert to fraction form
    1,827/3,783 = 3,783/x
  3. Step 3: Cross multiply
    1,827x = 3,783 × 3,783
  4. Step 4: Simplify right side
    1,827x = 14,311,089
  5. Step 5: Solve for x
    x = 14,311,089/1,827
  6. Step 6: Final answer
    x = 7,833.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.