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Finding the Third Proportional to 41,304 and 65,647

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Solution

The third proportional to 41,304 and 65,647 is: 104,336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,304 : 65,647 = 65,647 : x
  2. Step 2: Convert to fraction form
    41,304/65,647 = 65,647/x
  3. Step 3: Cross multiply
    41,304x = 65,647 × 65,647
  4. Step 4: Simplify right side
    41,304x = 4,309,528,609
  5. Step 5: Solve for x
    x = 4,309,528,609/41,304
  6. Step 6: Final answer
    x = 104,336.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.