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Finding the Third Proportional to 21,267 and 49,673

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Solution

The third proportional to 21,267 and 49,673 is: 116,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,267 : 49,673 = 49,673 : x
  2. Step 2: Convert to fraction form
    21,267/49,673 = 49,673/x
  3. Step 3: Cross multiply
    21,267x = 49,673 × 49,673
  4. Step 4: Simplify right side
    21,267x = 2,467,406,929
  5. Step 5: Solve for x
    x = 2,467,406,929/21,267
  6. Step 6: Final answer
    x = 116,020.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.