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Finding the Third Proportional to 27,785 and 59,914

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Solution

The third proportional to 27,785 and 59,914 is: 129,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785 : 59,914 = 59,914 : x
  2. Step 2: Convert to fraction form
    27,785/59,914 = 59,914/x
  3. Step 3: Cross multiply
    27,785x = 59,914 × 59,914
  4. Step 4: Simplify right side
    27,785x = 3,589,687,396
  5. Step 5: Solve for x
    x = 3,589,687,396/27,785
  6. Step 6: Final answer
    x = 129,195.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.