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Finding the Third Proportional to 9,500 and 14,536

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Solution

The third proportional to 9,500 and 14,536 is: 22,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500 : 14,536 = 14,536 : x
  2. Step 2: Convert to fraction form
    9,500/14,536 = 14,536/x
  3. Step 3: Cross multiply
    9,500x = 14,536 × 14,536
  4. Step 4: Simplify right side
    9,500x = 211,295,296
  5. Step 5: Solve for x
    x = 211,295,296/9,500
  6. Step 6: Final answer
    x = 22,241.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.