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Finding the Third Proportional to 27,832 and 40,900

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Solution

The third proportional to 27,832 and 40,900 is: 60,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832 : 40,900 = 40,900 : x
  2. Step 2: Convert to fraction form
    27,832/40,900 = 40,900/x
  3. Step 3: Cross multiply
    27,832x = 40,900 × 40,900
  4. Step 4: Simplify right side
    27,832x = 1,672,810,000
  5. Step 5: Solve for x
    x = 1,672,810,000/27,832
  6. Step 6: Final answer
    x = 60,103.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.