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Finding the Third Proportional to 27,817 and 35,244

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Solution

The third proportional to 27,817 and 35,244 is: 44,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817 : 35,244 = 35,244 : x
  2. Step 2: Convert to fraction form
    27,817/35,244 = 35,244/x
  3. Step 3: Cross multiply
    27,817x = 35,244 × 35,244
  4. Step 4: Simplify right side
    27,817x = 1,242,139,536
  5. Step 5: Solve for x
    x = 1,242,139,536/27,817
  6. Step 6: Final answer
    x = 44,653.97

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.