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Finding the Third Proportional to 1,941.75 and 4,455.38

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Solution

The third proportional to 1,941.75 and 4,455.38 is: 10,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.75 : 4,455.38 = 4,455.38 : x
  2. Step 2: Convert to fraction form
    1,941.75/4,455.38 = 4,455.38/x
  3. Step 3: Cross multiply
    1,941.75x = 4,455.38 × 4,455.38
  4. Step 4: Simplify right side
    1,941.75x = 19,850,366.39
  5. Step 5: Solve for x
    x = 19,850,366.39/1,941.75
  6. Step 6: Final answer
    x = 10,222.93

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.