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Finding the Third Proportional to 6,075 and 13,099.22

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Solution

The third proportional to 6,075 and 13,099.22 is: 28,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075 : 13,099.22 = 13,099.22 : x
  2. Step 2: Convert to fraction form
    6,075/13,099.22 = 13,099.22/x
  3. Step 3: Cross multiply
    6,075x = 13,099.22 × 13,099.22
  4. Step 4: Simplify right side
    6,075x = 171,589,531.86
  5. Step 5: Solve for x
    x = 171,589,531.86/6,075
  6. Step 6: Final answer
    x = 28,245.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.