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Finding the Third Proportional to 10,022.44 and 21,924.38

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Solution

The third proportional to 10,022.44 and 21,924.38 is: 47,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.44 : 21,924.38 = 21,924.38 : x
  2. Step 2: Convert to fraction form
    10,022.44/21,924.38 = 21,924.38/x
  3. Step 3: Cross multiply
    10,022.44x = 21,924.38 × 21,924.38
  4. Step 4: Simplify right side
    10,022.44x = 480,678,219.14
  5. Step 5: Solve for x
    x = 480,678,219.14/10,022.44
  6. Step 6: Final answer
    x = 47,960.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.