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Finding the Third Proportional to 43,694 and 65,757

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Solution

The third proportional to 43,694 and 65,757 is: 98,960.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,694 : 65,757 = 65,757 : x
  2. Step 2: Convert to fraction form
    43,694/65,757 = 65,757/x
  3. Step 3: Cross multiply
    43,694x = 65,757 × 65,757
  4. Step 4: Simplify right side
    43,694x = 4,323,983,049
  5. Step 5: Solve for x
    x = 4,323,983,049/43,694
  6. Step 6: Final answer
    x = 98,960.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.