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Finding the Third Proportional to 10,422 and 21,270

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Solution

The third proportional to 10,422 and 21,270 is: 43,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422 : 21,270 = 21,270 : x
  2. Step 2: Convert to fraction form
    10,422/21,270 = 21,270/x
  3. Step 3: Cross multiply
    10,422x = 21,270 × 21,270
  4. Step 4: Simplify right side
    10,422x = 452,412,900
  5. Step 5: Solve for x
    x = 452,412,900/10,422
  6. Step 6: Final answer
    x = 43,409.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.