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Finding the Third Proportional to 3,077 and 6,684.50

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Solution

The third proportional to 3,077 and 6,684.50 is: 14,521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077 : 6,684.50 = 6,684.50 : x
  2. Step 2: Convert to fraction form
    3,077/6,684.50 = 6,684.50/x
  3. Step 3: Cross multiply
    3,077x = 6,684.50 × 6,684.50
  4. Step 4: Simplify right side
    3,077x = 44,682,540.25
  5. Step 5: Solve for x
    x = 44,682,540.25/3,077
  6. Step 6: Final answer
    x = 14,521.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.