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Finding the Third Proportional to 26,003 and 57,847

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Solution

The third proportional to 26,003 and 57,847 is: 128,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,003 : 57,847 = 57,847 : x
  2. Step 2: Convert to fraction form
    26,003/57,847 = 57,847/x
  3. Step 3: Cross multiply
    26,003x = 57,847 × 57,847
  4. Step 4: Simplify right side
    26,003x = 3,346,275,409
  5. Step 5: Solve for x
    x = 3,346,275,409/26,003
  6. Step 6: Final answer
    x = 128,688.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.