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Finding the Third Proportional to 30,774 and 44,003

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Solution

The third proportional to 30,774 and 44,003 is: 62,918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774 : 44,003 = 44,003 : x
  2. Step 2: Convert to fraction form
    30,774/44,003 = 44,003/x
  3. Step 3: Cross multiply
    30,774x = 44,003 × 44,003
  4. Step 4: Simplify right side
    30,774x = 1,936,264,009
  5. Step 5: Solve for x
    x = 1,936,264,009/30,774
  6. Step 6: Final answer
    x = 62,918.83

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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.