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Finding the Third Proportional to 4,075.75 and 8,589.38

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Solution

The third proportional to 4,075.75 and 8,589.38 is: 18,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.75 : 8,589.38 = 8,589.38 : x
  2. Step 2: Convert to fraction form
    4,075.75/8,589.38 = 8,589.38/x
  3. Step 3: Cross multiply
    4,075.75x = 8,589.38 × 8,589.38
  4. Step 4: Simplify right side
    4,075.75x = 73,777,362.89
  5. Step 5: Solve for x
    x = 73,777,362.89/4,075.75
  6. Step 6: Final answer
    x = 18,101.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.