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Finding the Third Proportional to 20,238 and 30,149.25

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Solution

The third proportional to 20,238 and 30,149.25 is: 44,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238 : 30,149.25 = 30,149.25 : x
  2. Step 2: Convert to fraction form
    20,238/30,149.25 = 30,149.25/x
  3. Step 3: Cross multiply
    20,238x = 30,149.25 × 30,149.25
  4. Step 4: Simplify right side
    20,238x = 908,977,275.56
  5. Step 5: Solve for x
    x = 908,977,275.56/20,238
  6. Step 6: Final answer
    x = 44,914.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.