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Finding the Third Proportional to 1,956.94 and 4,075.59

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Solution

The third proportional to 1,956.94 and 4,075.59 is: 8,487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.94 : 4,075.59 = 4,075.59 : x
  2. Step 2: Convert to fraction form
    1,956.94/4,075.59 = 4,075.59/x
  3. Step 3: Cross multiply
    1,956.94x = 4,075.59 × 4,075.59
  4. Step 4: Simplify right side
    1,956.94x = 16,610,464.42
  5. Step 5: Solve for x
    x = 16,610,464.42/1,956.94
  6. Step 6: Final answer
    x = 8,487.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.