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Finding the Third Proportional to 26,333 and 58,003

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Solution

The third proportional to 26,333 and 58,003 is: 127,761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,333 : 58,003 = 58,003 : x
  2. Step 2: Convert to fraction form
    26,333/58,003 = 58,003/x
  3. Step 3: Cross multiply
    26,333x = 58,003 × 58,003
  4. Step 4: Simplify right side
    26,333x = 3,364,348,009
  5. Step 5: Solve for x
    x = 3,364,348,009/26,333
  6. Step 6: Final answer
    x = 127,761.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.