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Finding the Third Proportional to 2,047 and 3,077

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Solution

The third proportional to 2,047 and 3,077 is: 4,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047 : 3,077 = 3,077 : x
  2. Step 2: Convert to fraction form
    2,047/3,077 = 3,077/x
  3. Step 3: Cross multiply
    2,047x = 3,077 × 3,077
  4. Step 4: Simplify right side
    2,047x = 9,467,929
  5. Step 5: Solve for x
    x = 9,467,929/2,047
  6. Step 6: Final answer
    x = 4,625.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.