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Finding the Third Proportional to 16,726 and 22,309

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Solution

The third proportional to 16,726 and 22,309 is: 29,755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,726 : 22,309 = 22,309 : x
  2. Step 2: Convert to fraction form
    16,726/22,309 = 22,309/x
  3. Step 3: Cross multiply
    16,726x = 22,309 × 22,309
  4. Step 4: Simplify right side
    16,726x = 497,691,481
  5. Step 5: Solve for x
    x = 497,691,481/16,726
  6. Step 6: Final answer
    x = 29,755.56

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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.