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Finding the Third Proportional to 1,149.19 and 1,827.56

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Solution

The third proportional to 1,149.19 and 1,827.56 is: 2,906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.19 : 1,827.56 = 1,827.56 : x
  2. Step 2: Convert to fraction form
    1,149.19/1,827.56 = 1,827.56/x
  3. Step 3: Cross multiply
    1,149.19x = 1,827.56 × 1,827.56
  4. Step 4: Simplify right side
    1,149.19x = 3,339,984.69
  5. Step 5: Solve for x
    x = 3,339,984.69/1,149.19
  6. Step 6: Final answer
    x = 2,906.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.