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Finding the Third Proportional to 41,635.50 and 84,813

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Solution

The third proportional to 41,635.50 and 84,813 is: 172,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,635.50 : 84,813 = 84,813 : x
  2. Step 2: Convert to fraction form
    41,635.50/84,813 = 84,813/x
  3. Step 3: Cross multiply
    41,635.50x = 84,813 × 84,813
  4. Step 4: Simplify right side
    41,635.50x = 7,193,244,969
  5. Step 5: Solve for x
    x = 7,193,244,969/41,635.50
  6. Step 6: Final answer
    x = 172,767.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.