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Finding the Third Proportional to 23,110 and 33,025

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Solution

The third proportional to 23,110 and 33,025 is: 47,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,110 : 33,025 = 33,025 : x
  2. Step 2: Convert to fraction form
    23,110/33,025 = 33,025/x
  3. Step 3: Cross multiply
    23,110x = 33,025 × 33,025
  4. Step 4: Simplify right side
    23,110x = 1,090,650,625
  5. Step 5: Solve for x
    x = 1,090,650,625/23,110
  6. Step 6: Final answer
    x = 47,193.88

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.