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Finding the Third Proportional to 1,766 and 3,889

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Solution

The third proportional to 1,766 and 3,889 is: 8,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766 : 3,889 = 3,889 : x
  2. Step 2: Convert to fraction form
    1,766/3,889 = 3,889/x
  3. Step 3: Cross multiply
    1,766x = 3,889 × 3,889
  4. Step 4: Simplify right side
    1,766x = 15,124,321
  5. Step 5: Solve for x
    x = 15,124,321/1,766
  6. Step 6: Final answer
    x = 8,564.17

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