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Finding the Third Proportional to 13,669 and 20,017

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Solution

The third proportional to 13,669 and 20,017 is: 29,313.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669 : 20,017 = 20,017 : x
  2. Step 2: Convert to fraction form
    13,669/20,017 = 20,017/x
  3. Step 3: Cross multiply
    13,669x = 20,017 × 20,017
  4. Step 4: Simplify right side
    13,669x = 400,680,289
  5. Step 5: Solve for x
    x = 400,680,289/13,669
  6. Step 6: Final answer
    x = 29,313.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.