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Finding the Third Proportional to 27,010 and 56,171

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Solution

The third proportional to 27,010 and 56,171 is: 116,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,010 : 56,171 = 56,171 : x
  2. Step 2: Convert to fraction form
    27,010/56,171 = 56,171/x
  3. Step 3: Cross multiply
    27,010x = 56,171 × 56,171
  4. Step 4: Simplify right side
    27,010x = 3,155,181,241
  5. Step 5: Solve for x
    x = 3,155,181,241/27,010
  6. Step 6: Final answer
    x = 116,815.30

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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.