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Finding the Third Proportional to 14,120 and 32,829

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Solution

The third proportional to 14,120 and 32,829 is: 76,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,120 : 32,829 = 32,829 : x
  2. Step 2: Convert to fraction form
    14,120/32,829 = 32,829/x
  3. Step 3: Cross multiply
    14,120x = 32,829 × 32,829
  4. Step 4: Simplify right side
    14,120x = 1,077,743,241
  5. Step 5: Solve for x
    x = 1,077,743,241/14,120
  6. Step 6: Final answer
    x = 76,327.43

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.