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Finding the Third Proportional to 3,629.81 and 5,103.95

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Solution

The third proportional to 3,629.81 and 5,103.95 is: 7,176.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.81 : 5,103.95 = 5,103.95 : x
  2. Step 2: Convert to fraction form
    3,629.81/5,103.95 = 5,103.95/x
  3. Step 3: Cross multiply
    3,629.81x = 5,103.95 × 5,103.95
  4. Step 4: Simplify right side
    3,629.81x = 26,050,297.63
  5. Step 5: Solve for x
    x = 26,050,297.63/3,629.81
  6. Step 6: Final answer
    x = 7,176.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.