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Finding the Third Proportional to 41,780 and 65,211

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Solution

The third proportional to 41,780 and 65,211 is: 101,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,780 : 65,211 = 65,211 : x
  2. Step 2: Convert to fraction form
    41,780/65,211 = 65,211/x
  3. Step 3: Cross multiply
    41,780x = 65,211 × 65,211
  4. Step 4: Simplify right side
    41,780x = 4,252,474,521
  5. Step 5: Solve for x
    x = 4,252,474,521/41,780
  6. Step 6: Final answer
    x = 101,782.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.