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Finding the Third Proportional to 16,944 and 30,240

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Solution

The third proportional to 16,944 and 30,240 is: 53,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,944 : 30,240 = 30,240 : x
  2. Step 2: Convert to fraction form
    16,944/30,240 = 30,240/x
  3. Step 3: Cross multiply
    16,944x = 30,240 × 30,240
  4. Step 4: Simplify right side
    16,944x = 914,457,600
  5. Step 5: Solve for x
    x = 914,457,600/16,944
  6. Step 6: Final answer
    x = 53,969.41

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.