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Finding the Third Proportional to 941.63 and 1,949.63

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Solution

The third proportional to 941.63 and 1,949.63 is: 4,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.63 : 1,949.63 = 1,949.63 : x
  2. Step 2: Convert to fraction form
    941.63/1,949.63 = 1,949.63/x
  3. Step 3: Cross multiply
    941.63x = 1,949.63 × 1,949.63
  4. Step 4: Simplify right side
    941.63x = 3,801,037.64
  5. Step 5: Solve for x
    x = 3,801,037.64/941.63
  6. Step 6: Final answer
    x = 4,036.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.