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Finding the Third Proportional to 13,993 and 20,723

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Solution

The third proportional to 13,993 and 20,723 is: 30,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993 : 20,723 = 20,723 : x
  2. Step 2: Convert to fraction form
    13,993/20,723 = 20,723/x
  3. Step 3: Cross multiply
    13,993x = 20,723 × 20,723
  4. Step 4: Simplify right side
    13,993x = 429,442,729
  5. Step 5: Solve for x
    x = 429,442,729/13,993
  6. Step 6: Final answer
    x = 30,689.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.