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Finding the Third Proportional to 23,921 and 35,150.50

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Solution

The third proportional to 23,921 and 35,150.50 is: 51,651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,921 : 35,150.50 = 35,150.50 : x
  2. Step 2: Convert to fraction form
    23,921/35,150.50 = 35,150.50/x
  3. Step 3: Cross multiply
    23,921x = 35,150.50 × 35,150.50
  4. Step 4: Simplify right side
    23,921x = 1,235,557,650.25
  5. Step 5: Solve for x
    x = 1,235,557,650.25/23,921
  6. Step 6: Final answer
    x = 51,651.59

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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.