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Finding the Third Proportional to 43,851 and 65,100

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Solution

The third proportional to 43,851 and 65,100 is: 96,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,851 : 65,100 = 65,100 : x
  2. Step 2: Convert to fraction form
    43,851/65,100 = 65,100/x
  3. Step 3: Cross multiply
    43,851x = 65,100 × 65,100
  4. Step 4: Simplify right side
    43,851x = 4,238,010,000
  5. Step 5: Solve for x
    x = 4,238,010,000/43,851
  6. Step 6: Final answer
    x = 96,645.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.