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Finding the Third Proportional to 3,027.24 and 6,420.93

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Solution

The third proportional to 3,027.24 and 6,420.93 is: 13,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.24 : 6,420.93 = 6,420.93 : x
  2. Step 2: Convert to fraction form
    3,027.24/6,420.93 = 6,420.93/x
  3. Step 3: Cross multiply
    3,027.24x = 6,420.93 × 6,420.93
  4. Step 4: Simplify right side
    3,027.24x = 41,228,353.73
  5. Step 5: Solve for x
    x = 41,228,353.73/3,027.24
  6. Step 6: Final answer
    x = 13,619.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.