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Finding the Third Proportional to 16,822 and 26,009

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Solution

The third proportional to 16,822 and 26,009 is: 40,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822 : 26,009 = 26,009 : x
  2. Step 2: Convert to fraction form
    16,822/26,009 = 26,009/x
  3. Step 3: Cross multiply
    16,822x = 26,009 × 26,009
  4. Step 4: Simplify right side
    16,822x = 676,468,081
  5. Step 5: Solve for x
    x = 676,468,081/16,822
  6. Step 6: Final answer
    x = 40,213.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.