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Finding the Third Proportional to 2,477.25 and 2,814.75

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Solution

The third proportional to 2,477.25 and 2,814.75 is: 3,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.25 : 2,814.75 = 2,814.75 : x
  2. Step 2: Convert to fraction form
    2,477.25/2,814.75 = 2,814.75/x
  3. Step 3: Cross multiply
    2,477.25x = 2,814.75 × 2,814.75
  4. Step 4: Simplify right side
    2,477.25x = 7,922,817.56
  5. Step 5: Solve for x
    x = 7,922,817.56/2,477.25
  6. Step 6: Final answer
    x = 3,198.23

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.