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Finding the Third Proportional to 27,476 and 41,115

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Solution

The third proportional to 27,476 and 41,115 is: 61,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,476 : 41,115 = 41,115 : x
  2. Step 2: Convert to fraction form
    27,476/41,115 = 41,115/x
  3. Step 3: Cross multiply
    27,476x = 41,115 × 41,115
  4. Step 4: Simplify right side
    27,476x = 1,690,443,225
  5. Step 5: Solve for x
    x = 1,690,443,225/27,476
  6. Step 6: Final answer
    x = 61,524.36

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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.