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Finding the Third Proportional to 14,132 and 20,764

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Solution

The third proportional to 14,132 and 20,764 is: 30,508.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132 : 20,764 = 20,764 : x
  2. Step 2: Convert to fraction form
    14,132/20,764 = 20,764/x
  3. Step 3: Cross multiply
    14,132x = 20,764 × 20,764
  4. Step 4: Simplify right side
    14,132x = 431,143,696
  5. Step 5: Solve for x
    x = 431,143,696/14,132
  6. Step 6: Final answer
    x = 30,508.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.