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Finding the Third Proportional to 14,214 and 21,753

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Solution

The third proportional to 14,214 and 21,753 is: 33,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214 : 21,753 = 21,753 : x
  2. Step 2: Convert to fraction form
    14,214/21,753 = 21,753/x
  3. Step 3: Cross multiply
    14,214x = 21,753 × 21,753
  4. Step 4: Simplify right side
    14,214x = 473,193,009
  5. Step 5: Solve for x
    x = 473,193,009/14,214
  6. Step 6: Final answer
    x = 33,290.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.