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Finding the Third Proportional to 3,207.75 and 7,452.38

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Solution

The third proportional to 3,207.75 and 7,452.38 is: 17,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.75 : 7,452.38 = 7,452.38 : x
  2. Step 2: Convert to fraction form
    3,207.75/7,452.38 = 7,452.38/x
  3. Step 3: Cross multiply
    3,207.75x = 7,452.38 × 7,452.38
  4. Step 4: Simplify right side
    3,207.75x = 55,537,893.14
  5. Step 5: Solve for x
    x = 55,537,893.14/3,207.75
  6. Step 6: Final answer
    x = 17,313.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.