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Finding the Third Proportional to 1,679.25 and 2,209.75

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Solution

The third proportional to 1,679.25 and 2,209.75 is: 2,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.25 : 2,209.75 = 2,209.75 : x
  2. Step 2: Convert to fraction form
    1,679.25/2,209.75 = 2,209.75/x
  3. Step 3: Cross multiply
    1,679.25x = 2,209.75 × 2,209.75
  4. Step 4: Simplify right side
    1,679.25x = 4,882,995.06
  5. Step 5: Solve for x
    x = 4,882,995.06/1,679.25
  6. Step 6: Final answer
    x = 2,907.84

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.