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Finding the Third Proportional to 49,009 and 71,622

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Solution

The third proportional to 49,009 and 71,622 is: 104,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,009 : 71,622 = 71,622 : x
  2. Step 2: Convert to fraction form
    49,009/71,622 = 71,622/x
  3. Step 3: Cross multiply
    49,009x = 71,622 × 71,622
  4. Step 4: Simplify right side
    49,009x = 5,129,710,884
  5. Step 5: Solve for x
    x = 5,129,710,884/49,009
  6. Step 6: Final answer
    x = 104,668.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.