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Finding the Third Proportional to 26,485.50 and 55,149

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Solution

The third proportional to 26,485.50 and 55,149 is: 114,833.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,485.50 : 55,149 = 55,149 : x
  2. Step 2: Convert to fraction form
    26,485.50/55,149 = 55,149/x
  3. Step 3: Cross multiply
    26,485.50x = 55,149 × 55,149
  4. Step 4: Simplify right side
    26,485.50x = 3,041,412,201
  5. Step 5: Solve for x
    x = 3,041,412,201/26,485.50
  6. Step 6: Final answer
    x = 114,833.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.