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Finding the Third Proportional to 2,325.80 and 5,485.85

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Solution

The third proportional to 2,325.80 and 5,485.85 is: 12,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.80 : 5,485.85 = 5,485.85 : x
  2. Step 2: Convert to fraction form
    2,325.80/5,485.85 = 5,485.85/x
  3. Step 3: Cross multiply
    2,325.80x = 5,485.85 × 5,485.85
  4. Step 4: Simplify right side
    2,325.80x = 30,094,567.37
  5. Step 5: Solve for x
    x = 30,094,567.37/2,325.80
  6. Step 6: Final answer
    x = 12,939.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.