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Finding the Third Proportional to 27,013 and 56,191

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Solution

The third proportional to 27,013 and 56,191 is: 116,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,013 : 56,191 = 56,191 : x
  2. Step 2: Convert to fraction form
    27,013/56,191 = 56,191/x
  3. Step 3: Cross multiply
    27,013x = 56,191 × 56,191
  4. Step 4: Simplify right side
    27,013x = 3,157,428,481
  5. Step 5: Solve for x
    x = 3,157,428,481/27,013
  6. Step 6: Final answer
    x = 116,885.52

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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.