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Finding the Third Proportional to 16,055 and 21,309

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Solution

The third proportional to 16,055 and 21,309 is: 28,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,055 : 21,309 = 21,309 : x
  2. Step 2: Convert to fraction form
    16,055/21,309 = 21,309/x
  3. Step 3: Cross multiply
    16,055x = 21,309 × 21,309
  4. Step 4: Simplify right side
    16,055x = 454,073,481
  5. Step 5: Solve for x
    x = 454,073,481/16,055
  6. Step 6: Final answer
    x = 28,282.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.