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Finding the Third Proportional to 13,009 and 20,753

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Solution

The third proportional to 13,009 and 20,753 is: 33,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009 : 20,753 = 20,753 : x
  2. Step 2: Convert to fraction form
    13,009/20,753 = 20,753/x
  3. Step 3: Cross multiply
    13,009x = 20,753 × 20,753
  4. Step 4: Simplify right side
    13,009x = 430,687,009
  5. Step 5: Solve for x
    x = 430,687,009/13,009
  6. Step 6: Final answer
    x = 33,106.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.