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Finding the Third Proportional to 23,852 and 35,048.50

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Solution

The third proportional to 23,852 and 35,048.50 is: 51,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852 : 35,048.50 = 35,048.50 : x
  2. Step 2: Convert to fraction form
    23,852/35,048.50 = 35,048.50/x
  3. Step 3: Cross multiply
    23,852x = 35,048.50 × 35,048.50
  4. Step 4: Simplify right side
    23,852x = 1,228,397,352.25
  5. Step 5: Solve for x
    x = 1,228,397,352.25/23,852
  6. Step 6: Final answer
    x = 51,500.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.