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Finding the Third Proportional to 61,530 and 80,796

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Solution

The third proportional to 61,530 and 80,796 is: 106,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,530 : 80,796 = 80,796 : x
  2. Step 2: Convert to fraction form
    61,530/80,796 = 80,796/x
  3. Step 3: Cross multiply
    61,530x = 80,796 × 80,796
  4. Step 4: Simplify right side
    61,530x = 6,527,993,616
  5. Step 5: Solve for x
    x = 6,527,993,616/61,530
  6. Step 6: Final answer
    x = 106,094.48

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.