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Finding the Third Proportional to 835.73 and 1,827.14

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Solution

The third proportional to 835.73 and 1,827.14 is: 3,994.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.73 : 1,827.14 = 1,827.14 : x
  2. Step 2: Convert to fraction form
    835.73/1,827.14 = 1,827.14/x
  3. Step 3: Cross multiply
    835.73x = 1,827.14 × 1,827.14
  4. Step 4: Simplify right side
    835.73x = 3,338,442.86
  5. Step 5: Solve for x
    x = 3,338,442.86/835.73
  6. Step 6: Final answer
    x = 3,994.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.