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Finding the Third Proportional to 13,469 and 21,021

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Solution

The third proportional to 13,469 and 21,021 is: 32,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469 : 21,021 = 21,021 : x
  2. Step 2: Convert to fraction form
    13,469/21,021 = 21,021/x
  3. Step 3: Cross multiply
    13,469x = 21,021 × 21,021
  4. Step 4: Simplify right side
    13,469x = 441,882,441
  5. Step 5: Solve for x
    x = 441,882,441/13,469
  6. Step 6: Final answer
    x = 32,807.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.