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Finding the Third Proportional to 20,228.50 and 31,666

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Solution

The third proportional to 20,228.50 and 31,666 is: 49,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,228.50 : 31,666 = 31,666 : x
  2. Step 2: Convert to fraction form
    20,228.50/31,666 = 31,666/x
  3. Step 3: Cross multiply
    20,228.50x = 31,666 × 31,666
  4. Step 4: Simplify right side
    20,228.50x = 1,002,735,556
  5. Step 5: Solve for x
    x = 1,002,735,556/20,228.50
  6. Step 6: Final answer
    x = 49,570.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.