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Finding the Third Proportional to 41,995 and 65,021

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Solution

The third proportional to 41,995 and 65,021 is: 100,672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,995 : 65,021 = 65,021 : x
  2. Step 2: Convert to fraction form
    41,995/65,021 = 65,021/x
  3. Step 3: Cross multiply
    41,995x = 65,021 × 65,021
  4. Step 4: Simplify right side
    41,995x = 4,227,730,441
  5. Step 5: Solve for x
    x = 4,227,730,441/41,995
  6. Step 6: Final answer
    x = 100,672.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.