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Finding the Third Proportional to 906.75 and 2,464.88

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Solution

The third proportional to 906.75 and 2,464.88 is: 6,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.75 : 2,464.88 = 2,464.88 : x
  2. Step 2: Convert to fraction form
    906.75/2,464.88 = 2,464.88/x
  3. Step 3: Cross multiply
    906.75x = 2,464.88 × 2,464.88
  4. Step 4: Simplify right side
    906.75x = 6,075,608.77
  5. Step 5: Solve for x
    x = 6,075,608.77/906.75
  6. Step 6: Final answer
    x = 6,700.42

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.