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Finding the Third Proportional to 1,408.25 and 3,097.75

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Solution

The third proportional to 1,408.25 and 3,097.75 is: 6,814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.25 : 3,097.75 = 3,097.75 : x
  2. Step 2: Convert to fraction form
    1,408.25/3,097.75 = 3,097.75/x
  3. Step 3: Cross multiply
    1,408.25x = 3,097.75 × 3,097.75
  4. Step 4: Simplify right side
    1,408.25x = 9,596,055.06
  5. Step 5: Solve for x
    x = 9,596,055.06/1,408.25
  6. Step 6: Final answer
    x = 6,814.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.