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Finding the Third Proportional to 827.72 and 1,684.55

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Solution

The third proportional to 827.72 and 1,684.55 is: 3,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.72 : 1,684.55 = 1,684.55 : x
  2. Step 2: Convert to fraction form
    827.72/1,684.55 = 1,684.55/x
  3. Step 3: Cross multiply
    827.72x = 1,684.55 × 1,684.55
  4. Step 4: Simplify right side
    827.72x = 2,837,698.17
  5. Step 5: Solve for x
    x = 2,837,698.17/827.72
  6. Step 6: Final answer
    x = 3,428.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.