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Finding the Third Proportional to 14,839 and 21,451

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Solution

The third proportional to 14,839 and 21,451 is: 31,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,839 : 21,451 = 21,451 : x
  2. Step 2: Convert to fraction form
    14,839/21,451 = 21,451/x
  3. Step 3: Cross multiply
    14,839x = 21,451 × 21,451
  4. Step 4: Simplify right side
    14,839x = 460,145,401
  5. Step 5: Solve for x
    x = 460,145,401/14,839
  6. Step 6: Final answer
    x = 31,009.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.