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Finding the Third Proportional to 13,849 and 20,789

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Solution

The third proportional to 13,849 and 20,789 is: 31,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,849 : 20,789 = 20,789 : x
  2. Step 2: Convert to fraction form
    13,849/20,789 = 20,789/x
  3. Step 3: Cross multiply
    13,849x = 20,789 × 20,789
  4. Step 4: Simplify right side
    13,849x = 432,182,521
  5. Step 5: Solve for x
    x = 432,182,521/13,849
  6. Step 6: Final answer
    x = 31,206.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.