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Finding the Third Proportional to 25,474.50 and 55,809

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Solution

The third proportional to 25,474.50 and 55,809 is: 122,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,474.50 : 55,809 = 55,809 : x
  2. Step 2: Convert to fraction form
    25,474.50/55,809 = 55,809/x
  3. Step 3: Cross multiply
    25,474.50x = 55,809 × 55,809
  4. Step 4: Simplify right side
    25,474.50x = 3,114,644,481
  5. Step 5: Solve for x
    x = 3,114,644,481/25,474.50
  6. Step 6: Final answer
    x = 122,265.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.