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Finding the Third Proportional to 23,400 and 33,610.50

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Solution

The third proportional to 23,400 and 33,610.50 is: 48,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,400 : 33,610.50 = 33,610.50 : x
  2. Step 2: Convert to fraction form
    23,400/33,610.50 = 33,610.50/x
  3. Step 3: Cross multiply
    23,400x = 33,610.50 × 33,610.50
  4. Step 4: Simplify right side
    23,400x = 1,129,665,710.25
  5. Step 5: Solve for x
    x = 1,129,665,710.25/23,400
  6. Step 6: Final answer
    x = 48,276.31

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.