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Finding the Third Proportional to 3,006 and 6,481.50

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Solution

The third proportional to 3,006 and 6,481.50 is: 13,975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006 : 6,481.50 = 6,481.50 : x
  2. Step 2: Convert to fraction form
    3,006/6,481.50 = 6,481.50/x
  3. Step 3: Cross multiply
    3,006x = 6,481.50 × 6,481.50
  4. Step 4: Simplify right side
    3,006x = 42,009,842.25
  5. Step 5: Solve for x
    x = 42,009,842.25/3,006
  6. Step 6: Final answer
    x = 13,975.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.