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Finding the Third Proportional to 25,822 and 36,361.50

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Solution

The third proportional to 25,822 and 36,361.50 is: 51,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,822 : 36,361.50 = 36,361.50 : x
  2. Step 2: Convert to fraction form
    25,822/36,361.50 = 36,361.50/x
  3. Step 3: Cross multiply
    25,822x = 36,361.50 × 36,361.50
  4. Step 4: Simplify right side
    25,822x = 1,322,158,682.25
  5. Step 5: Solve for x
    x = 1,322,158,682.25/25,822
  6. Step 6: Final answer
    x = 51,202.80

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.