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Finding the Third Proportional to 2,307.75 and 2,709.75

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Solution

The third proportional to 2,307.75 and 2,709.75 is: 3,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.75 : 2,709.75 = 2,709.75 : x
  2. Step 2: Convert to fraction form
    2,307.75/2,709.75 = 2,709.75/x
  3. Step 3: Cross multiply
    2,307.75x = 2,709.75 × 2,709.75
  4. Step 4: Simplify right side
    2,307.75x = 7,342,745.06
  5. Step 5: Solve for x
    x = 7,342,745.06/2,307.75
  6. Step 6: Final answer
    x = 3,181.78

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.