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Finding the Third Proportional to 26,150 and 56,833

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Solution

The third proportional to 26,150 and 56,833 is: 123,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,150 : 56,833 = 56,833 : x
  2. Step 2: Convert to fraction form
    26,150/56,833 = 56,833/x
  3. Step 3: Cross multiply
    26,150x = 56,833 × 56,833
  4. Step 4: Simplify right side
    26,150x = 3,229,989,889
  5. Step 5: Solve for x
    x = 3,229,989,889/26,150
  6. Step 6: Final answer
    x = 123,517.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.