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Finding the Third Proportional to 27,832 and 57,964

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Solution

The third proportional to 27,832 and 57,964 is: 120,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832 : 57,964 = 57,964 : x
  2. Step 2: Convert to fraction form
    27,832/57,964 = 57,964/x
  3. Step 3: Cross multiply
    27,832x = 57,964 × 57,964
  4. Step 4: Simplify right side
    27,832x = 3,359,825,296
  5. Step 5: Solve for x
    x = 3,359,825,296/27,832
  6. Step 6: Final answer
    x = 120,718.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.