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Finding the Third Proportional to 13,017 and 28,009

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Solution

The third proportional to 13,017 and 28,009 is: 60,267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017 : 28,009 = 28,009 : x
  2. Step 2: Convert to fraction form
    13,017/28,009 = 28,009/x
  3. Step 3: Cross multiply
    13,017x = 28,009 × 28,009
  4. Step 4: Simplify right side
    13,017x = 784,504,081
  5. Step 5: Solve for x
    x = 784,504,081/13,017
  6. Step 6: Final answer
    x = 60,267.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.