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Finding the Third Proportional to 2,996.44 and 6,539.34

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Solution

The third proportional to 2,996.44 and 6,539.34 is: 14,271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.44 : 6,539.34 = 6,539.34 : x
  2. Step 2: Convert to fraction form
    2,996.44/6,539.34 = 6,539.34/x
  3. Step 3: Cross multiply
    2,996.44x = 6,539.34 × 6,539.34
  4. Step 4: Simplify right side
    2,996.44x = 42,763,016.68
  5. Step 5: Solve for x
    x = 42,763,016.68/2,996.44
  6. Step 6: Final answer
    x = 14,271.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.