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Finding the Third Proportional to 10,120.21 and 21,797.38

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Solution

The third proportional to 10,120.21 and 21,797.38 is: 46,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120.21 : 21,797.38 = 21,797.38 : x
  2. Step 2: Convert to fraction form
    10,120.21/21,797.38 = 21,797.38/x
  3. Step 3: Cross multiply
    10,120.21x = 21,797.38 × 21,797.38
  4. Step 4: Simplify right side
    10,120.21x = 475,125,982.62
  5. Step 5: Solve for x
    x = 475,125,982.62/10,120.21
  6. Step 6: Final answer
    x = 46,948.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.