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Finding the Third Proportional to 27,221 and 56,938

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Solution

The third proportional to 27,221 and 56,938 is: 119,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,221 : 56,938 = 56,938 : x
  2. Step 2: Convert to fraction form
    27,221/56,938 = 56,938/x
  3. Step 3: Cross multiply
    27,221x = 56,938 × 56,938
  4. Step 4: Simplify right side
    27,221x = 3,241,935,844
  5. Step 5: Solve for x
    x = 3,241,935,844/27,221
  6. Step 6: Final answer
    x = 119,096.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.