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Finding the Third Proportional to 20,182 and 41,803

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Solution

The third proportional to 20,182 and 41,803 is: 86,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182 : 41,803 = 41,803 : x
  2. Step 2: Convert to fraction form
    20,182/41,803 = 41,803/x
  3. Step 3: Cross multiply
    20,182x = 41,803 × 41,803
  4. Step 4: Simplify right side
    20,182x = 1,747,490,809
  5. Step 5: Solve for x
    x = 1,747,490,809/20,182
  6. Step 6: Final answer
    x = 86,586.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.