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Finding the Third Proportional to 14,197 and 30,529

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Solution

The third proportional to 14,197 and 30,529 is: 65,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197 : 30,529 = 30,529 : x
  2. Step 2: Convert to fraction form
    14,197/30,529 = 30,529/x
  3. Step 3: Cross multiply
    14,197x = 30,529 × 30,529
  4. Step 4: Simplify right side
    14,197x = 932,019,841
  5. Step 5: Solve for x
    x = 932,019,841/14,197
  6. Step 6: Final answer
    x = 65,649.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.