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Finding the Third Proportional to 20,758.50 and 31,163.63

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Solution

The third proportional to 20,758.50 and 31,163.63 is: 46,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,758.50 : 31,163.63 = 31,163.63 : x
  2. Step 2: Convert to fraction form
    20,758.50/31,163.63 = 31,163.63/x
  3. Step 3: Cross multiply
    20,758.50x = 31,163.63 × 31,163.63
  4. Step 4: Simplify right side
    20,758.50x = 971,171,523.14
  5. Step 5: Solve for x
    x = 971,171,523.14/20,758.50
  6. Step 6: Final answer
    x = 46,784.28

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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.