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Finding the Third Proportional to 3,299.75 and 4,841.38

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Solution

The third proportional to 3,299.75 and 4,841.38 is: 7,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.75 : 4,841.38 = 4,841.38 : x
  2. Step 2: Convert to fraction form
    3,299.75/4,841.38 = 4,841.38/x
  3. Step 3: Cross multiply
    3,299.75x = 4,841.38 × 4,841.38
  4. Step 4: Simplify right side
    3,299.75x = 23,438,911.89
  5. Step 5: Solve for x
    x = 23,438,911.89/3,299.75
  6. Step 6: Final answer
    x = 7,103.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.