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Finding the Third Proportional to 26,028 and 56,000

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Solution

The third proportional to 26,028 and 56,000 is: 120,485.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,028 : 56,000 = 56,000 : x
  2. Step 2: Convert to fraction form
    26,028/56,000 = 56,000/x
  3. Step 3: Cross multiply
    26,028x = 56,000 × 56,000
  4. Step 4: Simplify right side
    26,028x = 3,136,000,000
  5. Step 5: Solve for x
    x = 3,136,000,000/26,028
  6. Step 6: Final answer
    x = 120,485.63

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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.