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Finding the Third Proportional to 13,524 and 20,842

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Solution

The third proportional to 13,524 and 20,842 is: 32,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524 : 20,842 = 20,842 : x
  2. Step 2: Convert to fraction form
    13,524/20,842 = 20,842/x
  3. Step 3: Cross multiply
    13,524x = 20,842 × 20,842
  4. Step 4: Simplify right side
    13,524x = 434,388,964
  5. Step 5: Solve for x
    x = 434,388,964/13,524
  6. Step 6: Final answer
    x = 32,119.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.