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Finding the Third Proportional to 1,838 and 4,086

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Solution

The third proportional to 1,838 and 4,086 is: 9,083.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838 : 4,086 = 4,086 : x
  2. Step 2: Convert to fraction form
    1,838/4,086 = 4,086/x
  3. Step 3: Cross multiply
    1,838x = 4,086 × 4,086
  4. Step 4: Simplify right side
    1,838x = 16,695,396
  5. Step 5: Solve for x
    x = 16,695,396/1,838
  6. Step 6: Final answer
    x = 9,083.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.