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Finding the Third Proportional to 26,028 and 56,059

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Solution

The third proportional to 26,028 and 56,059 is: 120,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,028 : 56,059 = 56,059 : x
  2. Step 2: Convert to fraction form
    26,028/56,059 = 56,059/x
  3. Step 3: Cross multiply
    26,028x = 56,059 × 56,059
  4. Step 4: Simplify right side
    26,028x = 3,142,611,481
  5. Step 5: Solve for x
    x = 3,142,611,481/26,028
  6. Step 6: Final answer
    x = 120,739.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.