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Finding the Third Proportional to 14,529 and 30,690

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Solution

The third proportional to 14,529 and 30,690 is: 64,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,529 : 30,690 = 30,690 : x
  2. Step 2: Convert to fraction form
    14,529/30,690 = 30,690/x
  3. Step 3: Cross multiply
    14,529x = 30,690 × 30,690
  4. Step 4: Simplify right side
    14,529x = 941,876,100
  5. Step 5: Solve for x
    x = 941,876,100/14,529
  6. Step 6: Final answer
    x = 64,827.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.