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Finding the Third Proportional to 849.23 and 1,847.81

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Solution

The third proportional to 849.23 and 1,847.81 is: 4,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.23 : 1,847.81 = 1,847.81 : x
  2. Step 2: Convert to fraction form
    849.23/1,847.81 = 1,847.81/x
  3. Step 3: Cross multiply
    849.23x = 1,847.81 × 1,847.81
  4. Step 4: Simplify right side
    849.23x = 3,414,411.04
  5. Step 5: Solve for x
    x = 3,414,411.04/849.23
  6. Step 6: Final answer
    x = 4,020.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.