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Finding the Third Proportional to 14,264 and 20,546

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Solution

The third proportional to 14,264 and 20,546 is: 29,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264 : 20,546 = 20,546 : x
  2. Step 2: Convert to fraction form
    14,264/20,546 = 20,546/x
  3. Step 3: Cross multiply
    14,264x = 20,546 × 20,546
  4. Step 4: Simplify right side
    14,264x = 422,138,116
  5. Step 5: Solve for x
    x = 422,138,116/14,264
  6. Step 6: Final answer
    x = 29,594.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.