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Finding the Third Proportional to 23,041 and 34,553.50

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Solution

The third proportional to 23,041 and 34,553.50 is: 51,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,041 : 34,553.50 = 34,553.50 : x
  2. Step 2: Convert to fraction form
    23,041/34,553.50 = 34,553.50/x
  3. Step 3: Cross multiply
    23,041x = 34,553.50 × 34,553.50
  4. Step 4: Simplify right side
    23,041x = 1,193,944,362.25
  5. Step 5: Solve for x
    x = 1,193,944,362.25/23,041
  6. Step 6: Final answer
    x = 51,818.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.