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Finding the Third Proportional to 41,679 and 88,825

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Solution

The third proportional to 41,679 and 88,825 is: 189,301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,679 : 88,825 = 88,825 : x
  2. Step 2: Convert to fraction form
    41,679/88,825 = 88,825/x
  3. Step 3: Cross multiply
    41,679x = 88,825 × 88,825
  4. Step 4: Simplify right side
    41,679x = 7,889,880,625
  5. Step 5: Solve for x
    x = 7,889,880,625/41,679
  6. Step 6: Final answer
    x = 189,301.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.