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Finding the Third Proportional to 20,097 and 30,087

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Solution

The third proportional to 20,097 and 30,087 is: 45,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097 : 30,087 = 30,087 : x
  2. Step 2: Convert to fraction form
    20,097/30,087 = 30,087/x
  3. Step 3: Cross multiply
    20,097x = 30,087 × 30,087
  4. Step 4: Simplify right side
    20,097x = 905,227,569
  5. Step 5: Solve for x
    x = 905,227,569/20,097
  6. Step 6: Final answer
    x = 45,042.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.