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Finding the Third Proportional to 44,508 and 67,884

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Solution

The third proportional to 44,508 and 67,884 is: 103,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,508 : 67,884 = 67,884 : x
  2. Step 2: Convert to fraction form
    44,508/67,884 = 67,884/x
  3. Step 3: Cross multiply
    44,508x = 67,884 × 67,884
  4. Step 4: Simplify right side
    44,508x = 4,608,237,456
  5. Step 5: Solve for x
    x = 4,608,237,456/44,508
  6. Step 6: Final answer
    x = 103,537.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.