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Finding the Third Proportional to 30,774 and 44,004

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Solution

The third proportional to 30,774 and 44,004 is: 62,921.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774 : 44,004 = 44,004 : x
  2. Step 2: Convert to fraction form
    30,774/44,004 = 44,004/x
  3. Step 3: Cross multiply
    30,774x = 44,004 × 44,004
  4. Step 4: Simplify right side
    30,774x = 1,936,352,016
  5. Step 5: Solve for x
    x = 1,936,352,016/30,774
  6. Step 6: Final answer
    x = 62,921.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.