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Finding the Third Proportional to 10,421 and 21,229

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Solution

The third proportional to 10,421 and 21,229 is: 43,246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421 : 21,229 = 21,229 : x
  2. Step 2: Convert to fraction form
    10,421/21,229 = 21,229/x
  3. Step 3: Cross multiply
    10,421x = 21,229 × 21,229
  4. Step 4: Simplify right side
    10,421x = 450,670,441
  5. Step 5: Solve for x
    x = 450,670,441/10,421
  6. Step 6: Final answer
    x = 43,246.37

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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.