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Finding the Third Proportional to 3,027 and 5,971.50

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Solution

The third proportional to 3,027 and 5,971.50 is: 11,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027 : 5,971.50 = 5,971.50 : x
  2. Step 2: Convert to fraction form
    3,027/5,971.50 = 5,971.50/x
  3. Step 3: Cross multiply
    3,027x = 5,971.50 × 5,971.50
  4. Step 4: Simplify right side
    3,027x = 35,658,812.25
  5. Step 5: Solve for x
    x = 35,658,812.25/3,027
  6. Step 6: Final answer
    x = 11,780.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.