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Finding the Third Proportional to 20,133 and 31,925

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Solution

The third proportional to 20,133 and 31,925 is: 50,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133 : 31,925 = 31,925 : x
  2. Step 2: Convert to fraction form
    20,133/31,925 = 31,925/x
  3. Step 3: Cross multiply
    20,133x = 31,925 × 31,925
  4. Step 4: Simplify right side
    20,133x = 1,019,205,625
  5. Step 5: Solve for x
    x = 1,019,205,625/20,133
  6. Step 6: Final answer
    x = 50,623.63

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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.