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Finding the Third Proportional to 20,431 and 30,768

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Solution

The third proportional to 20,431 and 30,768 is: 46,334.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431 : 30,768 = 30,768 : x
  2. Step 2: Convert to fraction form
    20,431/30,768 = 30,768/x
  3. Step 3: Cross multiply
    20,431x = 30,768 × 30,768
  4. Step 4: Simplify right side
    20,431x = 946,669,824
  5. Step 5: Solve for x
    x = 946,669,824/20,431
  6. Step 6: Final answer
    x = 46,334.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.