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Finding the Third Proportional to 17,846 and 26,822

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Solution

The third proportional to 17,846 and 26,822 is: 40,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846 : 26,822 = 26,822 : x
  2. Step 2: Convert to fraction form
    17,846/26,822 = 26,822/x
  3. Step 3: Cross multiply
    17,846x = 26,822 × 26,822
  4. Step 4: Simplify right side
    17,846x = 719,419,684
  5. Step 5: Solve for x
    x = 719,419,684/17,846
  6. Step 6: Final answer
    x = 40,312.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.