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Finding the Third Proportional to 1,660 and 3,077

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Solution

The third proportional to 1,660 and 3,077 is: 5,703.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660 : 3,077 = 3,077 : x
  2. Step 2: Convert to fraction form
    1,660/3,077 = 3,077/x
  3. Step 3: Cross multiply
    1,660x = 3,077 × 3,077
  4. Step 4: Simplify right side
    1,660x = 9,467,929
  5. Step 5: Solve for x
    x = 9,467,929/1,660
  6. Step 6: Final answer
    x = 5,703.57

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.