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Finding the Third Proportional to 2,441.39 and 3,779.16

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Solution

The third proportional to 2,441.39 and 3,779.16 is: 5,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.39 : 3,779.16 = 3,779.16 : x
  2. Step 2: Convert to fraction form
    2,441.39/3,779.16 = 3,779.16/x
  3. Step 3: Cross multiply
    2,441.39x = 3,779.16 × 3,779.16
  4. Step 4: Simplify right side
    2,441.39x = 14,282,021.96
  5. Step 5: Solve for x
    x = 14,282,021.96/2,441.39
  6. Step 6: Final answer
    x = 5,849.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.