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Finding the Third Proportional to 26,568 and 36,101

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Solution

The third proportional to 26,568 and 36,101 is: 49,054.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,568 : 36,101 = 36,101 : x
  2. Step 2: Convert to fraction form
    26,568/36,101 = 36,101/x
  3. Step 3: Cross multiply
    26,568x = 36,101 × 36,101
  4. Step 4: Simplify right side
    26,568x = 1,303,282,201
  5. Step 5: Solve for x
    x = 1,303,282,201/26,568
  6. Step 6: Final answer
    x = 49,054.58

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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.