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Finding the Third Proportional to 47,842 and 65,675

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Solution

The third proportional to 47,842 and 65,675 is: 90,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,842 : 65,675 = 65,675 : x
  2. Step 2: Convert to fraction form
    47,842/65,675 = 65,675/x
  3. Step 3: Cross multiply
    47,842x = 65,675 × 65,675
  4. Step 4: Simplify right side
    47,842x = 4,313,205,625
  5. Step 5: Solve for x
    x = 4,313,205,625/47,842
  6. Step 6: Final answer
    x = 90,155.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.