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Finding the Third Proportional to 5,389.03 and 8,324.44

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Solution

The third proportional to 5,389.03 and 8,324.44 is: 12,858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.03 : 8,324.44 = 8,324.44 : x
  2. Step 2: Convert to fraction form
    5,389.03/8,324.44 = 8,324.44/x
  3. Step 3: Cross multiply
    5,389.03x = 8,324.44 × 8,324.44
  4. Step 4: Simplify right side
    5,389.03x = 69,296,259.69
  5. Step 5: Solve for x
    x = 69,296,259.69/5,389.03
  6. Step 6: Final answer
    x = 12,858.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.