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Finding the Third Proportional to 9,500 and 14,197

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Solution

The third proportional to 9,500 and 14,197 is: 21,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500 : 14,197 = 14,197 : x
  2. Step 2: Convert to fraction form
    9,500/14,197 = 14,197/x
  3. Step 3: Cross multiply
    9,500x = 14,197 × 14,197
  4. Step 4: Simplify right side
    9,500x = 201,554,809
  5. Step 5: Solve for x
    x = 201,554,809/9,500
  6. Step 6: Final answer
    x = 21,216.30

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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.