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Finding the Third Proportional to 6,028.49 and 9,216.44

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Solution

The third proportional to 6,028.49 and 9,216.44 is: 14,090.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,028.49 : 9,216.44 = 9,216.44 : x
  2. Step 2: Convert to fraction form
    6,028.49/9,216.44 = 9,216.44/x
  3. Step 3: Cross multiply
    6,028.49x = 9,216.44 × 9,216.44
  4. Step 4: Simplify right side
    6,028.49x = 84,942,756.19
  5. Step 5: Solve for x
    x = 84,942,756.19/6,028.49
  6. Step 6: Final answer
    x = 14,090.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.