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Finding the Third Proportional to 2,295.21 and 3,647.85

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Solution

The third proportional to 2,295.21 and 3,647.85 is: 5,797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.21 : 3,647.85 = 3,647.85 : x
  2. Step 2: Convert to fraction form
    2,295.21/3,647.85 = 3,647.85/x
  3. Step 3: Cross multiply
    2,295.21x = 3,647.85 × 3,647.85
  4. Step 4: Simplify right side
    2,295.21x = 13,306,792.52
  5. Step 5: Solve for x
    x = 13,306,792.52/2,295.21
  6. Step 6: Final answer
    x = 5,797.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.