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Finding the Third Proportional to 9,500 and 14,120

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Solution

The third proportional to 9,500 and 14,120 is: 20,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500 : 14,120 = 14,120 : x
  2. Step 2: Convert to fraction form
    9,500/14,120 = 14,120/x
  3. Step 3: Cross multiply
    9,500x = 14,120 × 14,120
  4. Step 4: Simplify right side
    9,500x = 199,374,400
  5. Step 5: Solve for x
    x = 199,374,400/9,500
  6. Step 6: Final answer
    x = 20,986.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.