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Finding the Third Proportional to 2,561.63 and 3,842.44

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Solution

The third proportional to 2,561.63 and 3,842.44 is: 5,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.63 : 3,842.44 = 3,842.44 : x
  2. Step 2: Convert to fraction form
    2,561.63/3,842.44 = 3,842.44/x
  3. Step 3: Cross multiply
    2,561.63x = 3,842.44 × 3,842.44
  4. Step 4: Simplify right side
    2,561.63x = 14,764,325.94
  5. Step 5: Solve for x
    x = 14,764,325.94/2,561.63
  6. Step 6: Final answer
    x = 5,763.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.