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Finding the Third Proportional to 849.66 and 1,785.80

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Solution

The third proportional to 849.66 and 1,785.80 is: 3,753.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.66 : 1,785.80 = 1,785.80 : x
  2. Step 2: Convert to fraction form
    849.66/1,785.80 = 1,785.80/x
  3. Step 3: Cross multiply
    849.66x = 1,785.80 × 1,785.80
  4. Step 4: Simplify right side
    849.66x = 3,189,070.48
  5. Step 5: Solve for x
    x = 3,189,070.48/849.66
  6. Step 6: Final answer
    x = 3,753.37

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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.