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Finding the Third Proportional to 8,104 and 13,452

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Solution

The third proportional to 8,104 and 13,452 is: 22,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104 : 13,452 = 13,452 : x
  2. Step 2: Convert to fraction form
    8,104/13,452 = 13,452/x
  3. Step 3: Cross multiply
    8,104x = 13,452 × 13,452
  4. Step 4: Simplify right side
    8,104x = 180,956,304
  5. Step 5: Solve for x
    x = 180,956,304/8,104
  6. Step 6: Final answer
    x = 22,329.26

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.