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Finding the Third Proportional to 28,635 and 43,266

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Solution

The third proportional to 28,635 and 43,266 is: 65,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,635 : 43,266 = 43,266 : x
  2. Step 2: Convert to fraction form
    28,635/43,266 = 43,266/x
  3. Step 3: Cross multiply
    28,635x = 43,266 × 43,266
  4. Step 4: Simplify right side
    28,635x = 1,871,946,756
  5. Step 5: Solve for x
    x = 1,871,946,756/28,635
  6. Step 6: Final answer
    x = 65,372.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.