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Finding the Third Proportional to 14,529 and 21,736

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Solution

The third proportional to 14,529 and 21,736 is: 32,517.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,529 : 21,736 = 21,736 : x
  2. Step 2: Convert to fraction form
    14,529/21,736 = 21,736/x
  3. Step 3: Cross multiply
    14,529x = 21,736 × 21,736
  4. Step 4: Simplify right side
    14,529x = 472,453,696
  5. Step 5: Solve for x
    x = 472,453,696/14,529
  6. Step 6: Final answer
    x = 32,517.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.