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Finding the Third Proportional to 3,006 and 5,137

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Solution

The third proportional to 3,006 and 5,137 is: 8,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006 : 5,137 = 5,137 : x
  2. Step 2: Convert to fraction form
    3,006/5,137 = 5,137/x
  3. Step 3: Cross multiply
    3,006x = 5,137 × 5,137
  4. Step 4: Simplify right side
    3,006x = 26,388,769
  5. Step 5: Solve for x
    x = 26,388,769/3,006
  6. Step 6: Final answer
    x = 8,778.70

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.