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Finding the Third Proportional to 2,514.75 and 3,307.69

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Solution

The third proportional to 2,514.75 and 3,307.69 is: 4,350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.75 : 3,307.69 = 3,307.69 : x
  2. Step 2: Convert to fraction form
    2,514.75/3,307.69 = 3,307.69/x
  3. Step 3: Cross multiply
    2,514.75x = 3,307.69 × 3,307.69
  4. Step 4: Simplify right side
    2,514.75x = 10,940,796.60
  5. Step 5: Solve for x
    x = 10,940,796.60/2,514.75
  6. Step 6: Final answer
    x = 4,350.65

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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.