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Finding the Third Proportional to 20,237 and 30,148

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Solution

The third proportional to 20,237 and 30,148 is: 44,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,237 : 30,148 = 30,148 : x
  2. Step 2: Convert to fraction form
    20,237/30,148 = 30,148/x
  3. Step 3: Cross multiply
    20,237x = 30,148 × 30,148
  4. Step 4: Simplify right side
    20,237x = 908,901,904
  5. Step 5: Solve for x
    x = 908,901,904/20,237
  6. Step 6: Final answer
    x = 44,912.88

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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.