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Finding the Third Proportional to 26,700 and 36,205

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Solution

The third proportional to 26,700 and 36,205 is: 49,093.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,700 : 36,205 = 36,205 : x
  2. Step 2: Convert to fraction form
    26,700/36,205 = 36,205/x
  3. Step 3: Cross multiply
    26,700x = 36,205 × 36,205
  4. Step 4: Simplify right side
    26,700x = 1,310,802,025
  5. Step 5: Solve for x
    x = 1,310,802,025/26,700
  6. Step 6: Final answer
    x = 49,093.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.