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Finding the Third Proportional to 1,827.56 and 4,002.19

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Solution

The third proportional to 1,827.56 and 4,002.19 is: 8,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.56 : 4,002.19 = 4,002.19 : x
  2. Step 2: Convert to fraction form
    1,827.56/4,002.19 = 4,002.19/x
  3. Step 3: Cross multiply
    1,827.56x = 4,002.19 × 4,002.19
  4. Step 4: Simplify right side
    1,827.56x = 16,017,504.79
  5. Step 5: Solve for x
    x = 16,017,504.79/1,827.56
  6. Step 6: Final answer
    x = 8,764.41

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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.