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Finding the Third Proportional to 44,340 and 73,884

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Solution

The third proportional to 44,340 and 73,884 is: 123,113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,340 : 73,884 = 73,884 : x
  2. Step 2: Convert to fraction form
    44,340/73,884 = 73,884/x
  3. Step 3: Cross multiply
    44,340x = 73,884 × 73,884
  4. Step 4: Simplify right side
    44,340x = 5,458,845,456
  5. Step 5: Solve for x
    x = 5,458,845,456/44,340
  6. Step 6: Final answer
    x = 123,113.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.