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Finding the Third Proportional to 6,075.75 and 13,082.25

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Solution

The third proportional to 6,075.75 and 13,082.25 is: 28,168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.75 : 13,082.25 = 13,082.25 : x
  2. Step 2: Convert to fraction form
    6,075.75/13,082.25 = 13,082.25/x
  3. Step 3: Cross multiply
    6,075.75x = 13,082.25 × 13,082.25
  4. Step 4: Simplify right side
    6,075.75x = 171,145,265.06
  5. Step 5: Solve for x
    x = 171,145,265.06/6,075.75
  6. Step 6: Final answer
    x = 28,168.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.