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Finding the Third Proportional to 27,911 and 57,785

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Solution

The third proportional to 27,911 and 57,785 is: 119,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911 : 57,785 = 57,785 : x
  2. Step 2: Convert to fraction form
    27,911/57,785 = 57,785/x
  3. Step 3: Cross multiply
    27,911x = 57,785 × 57,785
  4. Step 4: Simplify right side
    27,911x = 3,339,106,225
  5. Step 5: Solve for x
    x = 3,339,106,225/27,911
  6. Step 6: Final answer
    x = 119,634.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.