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Finding the Third Proportional to 27,441 and 57,035

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Solution

The third proportional to 27,441 and 57,035 is: 118,544.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,441 : 57,035 = 57,035 : x
  2. Step 2: Convert to fraction form
    27,441/57,035 = 57,035/x
  3. Step 3: Cross multiply
    27,441x = 57,035 × 57,035
  4. Step 4: Simplify right side
    27,441x = 3,252,991,225
  5. Step 5: Solve for x
    x = 3,252,991,225/27,441
  6. Step 6: Final answer
    x = 118,544.92

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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.