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Finding the Third Proportional to 13,894 and 20,347

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Solution

The third proportional to 13,894 and 20,347 is: 29,797.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894 : 20,347 = 20,347 : x
  2. Step 2: Convert to fraction form
    13,894/20,347 = 20,347/x
  3. Step 3: Cross multiply
    13,894x = 20,347 × 20,347
  4. Step 4: Simplify right side
    13,894x = 414,000,409
  5. Step 5: Solve for x
    x = 414,000,409/13,894
  6. Step 6: Final answer
    x = 29,797.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.