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Finding the Third Proportional to 23,424 and 30,912

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Solution

The third proportional to 23,424 and 30,912 is: 40,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,424 : 30,912 = 30,912 : x
  2. Step 2: Convert to fraction form
    23,424/30,912 = 30,912/x
  3. Step 3: Cross multiply
    23,424x = 30,912 × 30,912
  4. Step 4: Simplify right side
    23,424x = 955,551,744
  5. Step 5: Solve for x
    x = 955,551,744/23,424
  6. Step 6: Final answer
    x = 40,793.70

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.