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Finding the Third Proportional to 21,525.75 and 50,311.13

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Solution

The third proportional to 21,525.75 and 50,311.13 is: 117,589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,525.75 : 50,311.13 = 50,311.13 : x
  2. Step 2: Convert to fraction form
    21,525.75/50,311.13 = 50,311.13/x
  3. Step 3: Cross multiply
    21,525.75x = 50,311.13 × 50,311.13
  4. Step 4: Simplify right side
    21,525.75x = 2,531,209,298.77
  5. Step 5: Solve for x
    x = 2,531,209,298.77/21,525.75
  6. Step 6: Final answer
    x = 117,589.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.