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Finding the Third Proportional to 20,860 and 31,806

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Solution

The third proportional to 20,860 and 31,806 is: 48,495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,860 : 31,806 = 31,806 : x
  2. Step 2: Convert to fraction form
    20,860/31,806 = 31,806/x
  3. Step 3: Cross multiply
    20,860x = 31,806 × 31,806
  4. Step 4: Simplify right side
    20,860x = 1,011,621,636
  5. Step 5: Solve for x
    x = 1,011,621,636/20,860
  6. Step 6: Final answer
    x = 48,495.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.