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Finding the Third Proportional to 816.19 and 1,890.84

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Solution

The third proportional to 816.19 and 1,890.84 is: 4,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.19 : 1,890.84 = 1,890.84 : x
  2. Step 2: Convert to fraction form
    816.19/1,890.84 = 1,890.84/x
  3. Step 3: Cross multiply
    816.19x = 1,890.84 × 1,890.84
  4. Step 4: Simplify right side
    816.19x = 3,575,290.09
  5. Step 5: Solve for x
    x = 3,575,290.09/816.19
  6. Step 6: Final answer
    x = 4,380.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.