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Finding the Third Proportional to 19,224 and 40,728

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Solution

The third proportional to 19,224 and 40,728 is: 86,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,224 : 40,728 = 40,728 : x
  2. Step 2: Convert to fraction form
    19,224/40,728 = 40,728/x
  3. Step 3: Cross multiply
    19,224x = 40,728 × 40,728
  4. Step 4: Simplify right side
    19,224x = 1,658,769,984
  5. Step 5: Solve for x
    x = 1,658,769,984/19,224
  6. Step 6: Final answer
    x = 86,286.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.