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Finding the Third Proportional to 26,004 and 56,096

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Solution

The third proportional to 26,004 and 56,096 is: 121,010.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,004 : 56,096 = 56,096 : x
  2. Step 2: Convert to fraction form
    26,004/56,096 = 56,096/x
  3. Step 3: Cross multiply
    26,004x = 56,096 × 56,096
  4. Step 4: Simplify right side
    26,004x = 3,146,761,216
  5. Step 5: Solve for x
    x = 3,146,761,216/26,004
  6. Step 6: Final answer
    x = 121,010.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.