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Finding the Third Proportional to 1,834.31 and 1,986.19

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Solution

The third proportional to 1,834.31 and 1,986.19 is: 2,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.31 : 1,986.19 = 1,986.19 : x
  2. Step 2: Convert to fraction form
    1,834.31/1,986.19 = 1,986.19/x
  3. Step 3: Cross multiply
    1,834.31x = 1,986.19 × 1,986.19
  4. Step 4: Simplify right side
    1,834.31x = 3,944,940.79
  5. Step 5: Solve for x
    x = 3,944,940.79/1,834.31
  6. Step 6: Final answer
    x = 2,150.64

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.