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Finding the Third Proportional to 34,550 and 55,003

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Solution

The third proportional to 34,550 and 55,003 is: 87,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,550 : 55,003 = 55,003 : x
  2. Step 2: Convert to fraction form
    34,550/55,003 = 55,003/x
  3. Step 3: Cross multiply
    34,550x = 55,003 × 55,003
  4. Step 4: Simplify right side
    34,550x = 3,025,330,009
  5. Step 5: Solve for x
    x = 3,025,330,009/34,550
  6. Step 6: Final answer
    x = 87,563.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.