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Finding the Third Proportional to 41,649 and 90,693

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Solution

The third proportional to 41,649 and 90,693 is: 197,489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,649 : 90,693 = 90,693 : x
  2. Step 2: Convert to fraction form
    41,649/90,693 = 90,693/x
  3. Step 3: Cross multiply
    41,649x = 90,693 × 90,693
  4. Step 4: Simplify right side
    41,649x = 8,225,220,249
  5. Step 5: Solve for x
    x = 8,225,220,249/41,649
  6. Step 6: Final answer
    x = 197,489.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.