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Finding the Third Proportional to 849.94 and 1,785.94

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Solution

The third proportional to 849.94 and 1,785.94 is: 3,752.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.94 : 1,785.94 = 1,785.94 : x
  2. Step 2: Convert to fraction form
    849.94/1,785.94 = 1,785.94/x
  3. Step 3: Cross multiply
    849.94x = 1,785.94 × 1,785.94
  4. Step 4: Simplify right side
    849.94x = 3,189,572.75
  5. Step 5: Solve for x
    x = 3,189,572.75/849.94
  6. Step 6: Final answer
    x = 3,752.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.