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Finding the Third Proportional to 26,841 and 40,323

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Solution

The third proportional to 26,841 and 40,323 is: 60,576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,841 : 40,323 = 40,323 : x
  2. Step 2: Convert to fraction form
    26,841/40,323 = 40,323/x
  3. Step 3: Cross multiply
    26,841x = 40,323 × 40,323
  4. Step 4: Simplify right side
    26,841x = 1,625,944,329
  5. Step 5: Solve for x
    x = 1,625,944,329/26,841
  6. Step 6: Final answer
    x = 60,576.89

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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.