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Finding the Third Proportional to 14,017 and 20,903

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Solution

The third proportional to 14,017 and 20,903 is: 31,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017 : 20,903 = 20,903 : x
  2. Step 2: Convert to fraction form
    14,017/20,903 = 20,903/x
  3. Step 3: Cross multiply
    14,017x = 20,903 × 20,903
  4. Step 4: Simplify right side
    14,017x = 436,935,409
  5. Step 5: Solve for x
    x = 436,935,409/14,017
  6. Step 6: Final answer
    x = 31,171.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.