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Finding the Third Proportional to 4,082.63 and 9,075.94

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Solution

The third proportional to 4,082.63 and 9,075.94 is: 20,176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.63 : 9,075.94 = 9,075.94 : x
  2. Step 2: Convert to fraction form
    4,082.63/9,075.94 = 9,075.94/x
  3. Step 3: Cross multiply
    4,082.63x = 9,075.94 × 9,075.94
  4. Step 4: Simplify right side
    4,082.63x = 82,372,641.50
  5. Step 5: Solve for x
    x = 82,372,641.50/4,082.63
  6. Step 6: Final answer
    x = 20,176.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.