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Finding the Third Proportional to 3,629.38 and 7,950.38

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Solution

The third proportional to 3,629.38 and 7,950.38 is: 17,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.38 : 7,950.38 = 7,950.38 : x
  2. Step 2: Convert to fraction form
    3,629.38/7,950.38 = 7,950.38/x
  3. Step 3: Cross multiply
    3,629.38x = 7,950.38 × 7,950.38
  4. Step 4: Simplify right side
    3,629.38x = 63,208,462.64
  5. Step 5: Solve for x
    x = 63,208,462.64/3,629.38
  6. Step 6: Final answer
    x = 17,415.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.