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Finding the Third Proportional to 64,832 and 82,834

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Solution

The third proportional to 64,832 and 82,834 is: 105,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,832 : 82,834 = 82,834 : x
  2. Step 2: Convert to fraction form
    64,832/82,834 = 82,834/x
  3. Step 3: Cross multiply
    64,832x = 82,834 × 82,834
  4. Step 4: Simplify right side
    64,832x = 6,861,471,556
  5. Step 5: Solve for x
    x = 6,861,471,556/64,832
  6. Step 6: Final answer
    x = 105,834.64

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.