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Finding the Third Proportional to 10,002 and 21,945

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Solution

The third proportional to 10,002 and 21,945 is: 48,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002 : 21,945 = 21,945 : x
  2. Step 2: Convert to fraction form
    10,002/21,945 = 21,945/x
  3. Step 3: Cross multiply
    10,002x = 21,945 × 21,945
  4. Step 4: Simplify right side
    10,002x = 481,583,025
  5. Step 5: Solve for x
    x = 481,583,025/10,002
  6. Step 6: Final answer
    x = 48,148.67

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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.