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Finding the Third Proportional to 27,016 and 57,008

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Solution

The third proportional to 27,016 and 57,008 is: 120,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,016 : 57,008 = 57,008 : x
  2. Step 2: Convert to fraction form
    27,016/57,008 = 57,008/x
  3. Step 3: Cross multiply
    27,016x = 57,008 × 57,008
  4. Step 4: Simplify right side
    27,016x = 3,249,912,064
  5. Step 5: Solve for x
    x = 3,249,912,064/27,016
  6. Step 6: Final answer
    x = 120,295.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.