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Finding the Third Proportional to 14,317 and 20,651

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Solution

The third proportional to 14,317 and 20,651 is: 29,787.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,317 : 20,651 = 20,651 : x
  2. Step 2: Convert to fraction form
    14,317/20,651 = 20,651/x
  3. Step 3: Cross multiply
    14,317x = 20,651 × 20,651
  4. Step 4: Simplify right side
    14,317x = 426,463,801
  5. Step 5: Solve for x
    x = 426,463,801/14,317
  6. Step 6: Final answer
    x = 29,787.23

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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.