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Finding the Third Proportional to 21,809.25 and 47,908.97

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Solution

The third proportional to 21,809.25 and 47,908.97 is: 105,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809.25 : 47,908.97 = 47,908.97 : x
  2. Step 2: Convert to fraction form
    21,809.25/47,908.97 = 47,908.97/x
  3. Step 3: Cross multiply
    21,809.25x = 47,908.97 × 47,908.97
  4. Step 4: Simplify right side
    21,809.25x = 2,295,269,286.69
  5. Step 5: Solve for x
    x = 2,295,269,286.69/21,809.25
  6. Step 6: Final answer
    x = 105,242.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.