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Finding the Third Proportional to 13,434 and 20,853

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Solution

The third proportional to 13,434 and 20,853 is: 32,369.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434 : 20,853 = 20,853 : x
  2. Step 2: Convert to fraction form
    13,434/20,853 = 20,853/x
  3. Step 3: Cross multiply
    13,434x = 20,853 × 20,853
  4. Step 4: Simplify right side
    13,434x = 434,847,609
  5. Step 5: Solve for x
    x = 434,847,609/13,434
  6. Step 6: Final answer
    x = 32,369.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.