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Finding the Third Proportional to 27,385 and 41,199

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Solution

The third proportional to 27,385 and 41,199 is: 61,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,385 : 41,199 = 41,199 : x
  2. Step 2: Convert to fraction form
    27,385/41,199 = 41,199/x
  3. Step 3: Cross multiply
    27,385x = 41,199 × 41,199
  4. Step 4: Simplify right side
    27,385x = 1,697,357,601
  5. Step 5: Solve for x
    x = 1,697,357,601/27,385
  6. Step 6: Final answer
    x = 61,981.29

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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.