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Finding the Third Proportional to 26,949 and 59,195

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Solution

The third proportional to 26,949 and 59,195 is: 130,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,949 : 59,195 = 59,195 : x
  2. Step 2: Convert to fraction form
    26,949/59,195 = 59,195/x
  3. Step 3: Cross multiply
    26,949x = 59,195 × 59,195
  4. Step 4: Simplify right side
    26,949x = 3,504,048,025
  5. Step 5: Solve for x
    x = 3,504,048,025/26,949
  6. Step 6: Final answer
    x = 130,025.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.