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Finding the Third Proportional to 13,628 and 29,020

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Solution

The third proportional to 13,628 and 29,020 is: 61,796.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,628 : 29,020 = 29,020 : x
  2. Step 2: Convert to fraction form
    13,628/29,020 = 29,020/x
  3. Step 3: Cross multiply
    13,628x = 29,020 × 29,020
  4. Step 4: Simplify right side
    13,628x = 842,160,400
  5. Step 5: Solve for x
    x = 842,160,400/13,628
  6. Step 6: Final answer
    x = 61,796.33

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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.