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Finding the Third Proportional to 20,085 and 41,763

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Solution

The third proportional to 20,085 and 41,763 is: 86,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,085 : 41,763 = 41,763 : x
  2. Step 2: Convert to fraction form
    20,085/41,763 = 41,763/x
  3. Step 3: Cross multiply
    20,085x = 41,763 × 41,763
  4. Step 4: Simplify right side
    20,085x = 1,744,148,169
  5. Step 5: Solve for x
    x = 1,744,148,169/20,085
  6. Step 6: Final answer
    x = 86,838.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.