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Finding the Third Proportional to 26,970 and 56,092

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Solution

The third proportional to 26,970 and 56,092 is: 116,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,970 : 56,092 = 56,092 : x
  2. Step 2: Convert to fraction form
    26,970/56,092 = 56,092/x
  3. Step 3: Cross multiply
    26,970x = 56,092 × 56,092
  4. Step 4: Simplify right side
    26,970x = 3,146,312,464
  5. Step 5: Solve for x
    x = 3,146,312,464/26,970
  6. Step 6: Final answer
    x = 116,659.71

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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.