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Finding the Third Proportional to 1,845.28 and 2,762.86

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Solution

The third proportional to 1,845.28 and 2,762.86 is: 4,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.28 : 2,762.86 = 2,762.86 : x
  2. Step 2: Convert to fraction form
    1,845.28/2,762.86 = 2,762.86/x
  3. Step 3: Cross multiply
    1,845.28x = 2,762.86 × 2,762.86
  4. Step 4: Simplify right side
    1,845.28x = 7,633,391.93
  5. Step 5: Solve for x
    x = 7,633,391.93/1,845.28
  6. Step 6: Final answer
    x = 4,136.71

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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.