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Finding the Third Proportional to 13,629 and 21,057

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Solution

The third proportional to 13,629 and 21,057 is: 32,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,629 : 21,057 = 21,057 : x
  2. Step 2: Convert to fraction form
    13,629/21,057 = 21,057/x
  3. Step 3: Cross multiply
    13,629x = 21,057 × 21,057
  4. Step 4: Simplify right side
    13,629x = 443,397,249
  5. Step 5: Solve for x
    x = 443,397,249/13,629
  6. Step 6: Final answer
    x = 32,533.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.