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Finding the Third Proportional to 13,021 and 27,677

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Solution

The third proportional to 13,021 and 27,677 is: 58,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021 : 27,677 = 27,677 : x
  2. Step 2: Convert to fraction form
    13,021/27,677 = 27,677/x
  3. Step 3: Cross multiply
    13,021x = 27,677 × 27,677
  4. Step 4: Simplify right side
    13,021x = 766,016,329
  5. Step 5: Solve for x
    x = 766,016,329/13,021
  6. Step 6: Final answer
    x = 58,829.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.