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Finding the Third Proportional to 26,447 and 36,265

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Solution

The third proportional to 26,447 and 36,265 is: 49,727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,447 : 36,265 = 36,265 : x
  2. Step 2: Convert to fraction form
    26,447/36,265 = 36,265/x
  3. Step 3: Cross multiply
    26,447x = 36,265 × 36,265
  4. Step 4: Simplify right side
    26,447x = 1,315,150,225
  5. Step 5: Solve for x
    x = 1,315,150,225/26,447
  6. Step 6: Final answer
    x = 49,727.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.