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Finding the Third Proportional to 805.41 and 1,881.83

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Solution

The third proportional to 805.41 and 1,881.83 is: 4,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.41 : 1,881.83 = 1,881.83 : x
  2. Step 2: Convert to fraction form
    805.41/1,881.83 = 1,881.83/x
  3. Step 3: Cross multiply
    805.41x = 1,881.83 × 1,881.83
  4. Step 4: Simplify right side
    805.41x = 3,541,269.74
  5. Step 5: Solve for x
    x = 3,541,269.74/805.41
  6. Step 6: Final answer
    x = 4,396.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.