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Finding the Third Proportional to 23,361.75 and 35,285.63

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Solution

The third proportional to 23,361.75 and 35,285.63 is: 53,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,361.75 : 35,285.63 = 35,285.63 : x
  2. Step 2: Convert to fraction form
    23,361.75/35,285.63 = 35,285.63/x
  3. Step 3: Cross multiply
    23,361.75x = 35,285.63 × 35,285.63
  4. Step 4: Simplify right side
    23,361.75x = 1,245,075,331.64
  5. Step 5: Solve for x
    x = 1,245,075,331.64/23,361.75
  6. Step 6: Final answer
    x = 53,295.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.