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Finding the Third Proportional to 20,125.50 and 31,914

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Solution

The third proportional to 20,125.50 and 31,914 is: 50,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,125.50 : 31,914 = 31,914 : x
  2. Step 2: Convert to fraction form
    20,125.50/31,914 = 31,914/x
  3. Step 3: Cross multiply
    20,125.50x = 31,914 × 31,914
  4. Step 4: Simplify right side
    20,125.50x = 1,018,503,396
  5. Step 5: Solve for x
    x = 1,018,503,396/20,125.50
  6. Step 6: Final answer
    x = 50,607.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.