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Finding the Third Proportional to 64,796 and 82,796

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Solution

The third proportional to 64,796 and 82,796 is: 105,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,796 : 82,796 = 82,796 : x
  2. Step 2: Convert to fraction form
    64,796/82,796 = 82,796/x
  3. Step 3: Cross multiply
    64,796x = 82,796 × 82,796
  4. Step 4: Simplify right side
    64,796x = 6,855,177,616
  5. Step 5: Solve for x
    x = 6,855,177,616/64,796
  6. Step 6: Final answer
    x = 105,796.31

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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.