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Finding the Third Proportional to 1,770 and 3,781

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Solution

The third proportional to 1,770 and 3,781 is: 8,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770 : 3,781 = 3,781 : x
  2. Step 2: Convert to fraction form
    1,770/3,781 = 3,781/x
  3. Step 3: Cross multiply
    1,770x = 3,781 × 3,781
  4. Step 4: Simplify right side
    1,770x = 14,295,961
  5. Step 5: Solve for x
    x = 14,295,961/1,770
  6. Step 6: Final answer
    x = 8,076.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.