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Finding the Third Proportional to 27,876 and 56,472

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Solution

The third proportional to 27,876 and 56,472 is: 114,402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876 : 56,472 = 56,472 : x
  2. Step 2: Convert to fraction form
    27,876/56,472 = 56,472/x
  3. Step 3: Cross multiply
    27,876x = 56,472 × 56,472
  4. Step 4: Simplify right side
    27,876x = 3,189,086,784
  5. Step 5: Solve for x
    x = 3,189,086,784/27,876
  6. Step 6: Final answer
    x = 114,402.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.