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Finding the Third Proportional to 1,797.53 and 3,844.95

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Solution

The third proportional to 1,797.53 and 3,844.95 is: 8,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.53 : 3,844.95 = 3,844.95 : x
  2. Step 2: Convert to fraction form
    1,797.53/3,844.95 = 3,844.95/x
  3. Step 3: Cross multiply
    1,797.53x = 3,844.95 × 3,844.95
  4. Step 4: Simplify right side
    1,797.53x = 14,783,604.46
  5. Step 5: Solve for x
    x = 14,783,604.46/1,797.53
  6. Step 6: Final answer
    x = 8,224.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.