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Finding the Third Proportional to 20,225 and 43,738

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Solution

The third proportional to 20,225 and 43,738 is: 94,586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225 : 43,738 = 43,738 : x
  2. Step 2: Convert to fraction form
    20,225/43,738 = 43,738/x
  3. Step 3: Cross multiply
    20,225x = 43,738 × 43,738
  4. Step 4: Simplify right side
    20,225x = 1,913,012,644
  5. Step 5: Solve for x
    x = 1,913,012,644/20,225
  6. Step 6: Final answer
    x = 94,586.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.