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Finding the Third Proportional to 19,398 and 29,976

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Solution

The third proportional to 19,398 and 29,976 is: 46,322.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,398 : 29,976 = 29,976 : x
  2. Step 2: Convert to fraction form
    19,398/29,976 = 29,976/x
  3. Step 3: Cross multiply
    19,398x = 29,976 × 29,976
  4. Step 4: Simplify right side
    19,398x = 898,560,576
  5. Step 5: Solve for x
    x = 898,560,576/19,398
  6. Step 6: Final answer
    x = 46,322.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.