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Finding the Third Proportional to 20,238 and 30,149.50

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Solution

The third proportional to 20,238 and 30,149.50 is: 44,915.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238 : 30,149.50 = 30,149.50 : x
  2. Step 2: Convert to fraction form
    20,238/30,149.50 = 30,149.50/x
  3. Step 3: Cross multiply
    20,238x = 30,149.50 × 30,149.50
  4. Step 4: Simplify right side
    20,238x = 908,992,350.25
  5. Step 5: Solve for x
    x = 908,992,350.25/20,238
  6. Step 6: Final answer
    x = 44,915.13

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