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Finding the Third Proportional to 44,890 and 65,375

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Solution

The third proportional to 44,890 and 65,375 is: 95,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,890 : 65,375 = 65,375 : x
  2. Step 2: Convert to fraction form
    44,890/65,375 = 65,375/x
  3. Step 3: Cross multiply
    44,890x = 65,375 × 65,375
  4. Step 4: Simplify right side
    44,890x = 4,273,890,625
  5. Step 5: Solve for x
    x = 4,273,890,625/44,890
  6. Step 6: Final answer
    x = 95,208.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.