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Finding the Third Proportional to 19,536 and 44,976

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Solution

The third proportional to 19,536 and 44,976 is: 103,544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536 : 44,976 = 44,976 : x
  2. Step 2: Convert to fraction form
    19,536/44,976 = 44,976/x
  3. Step 3: Cross multiply
    19,536x = 44,976 × 44,976
  4. Step 4: Simplify right side
    19,536x = 2,022,840,576
  5. Step 5: Solve for x
    x = 2,022,840,576/19,536
  6. Step 6: Final answer
    x = 103,544.26

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.