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Finding the Third Proportional to 20,072 and 30,829

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Solution

The third proportional to 20,072 and 30,829 is: 47,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072 : 30,829 = 30,829 : x
  2. Step 2: Convert to fraction form
    20,072/30,829 = 30,829/x
  3. Step 3: Cross multiply
    20,072x = 30,829 × 30,829
  4. Step 4: Simplify right side
    20,072x = 950,427,241
  5. Step 5: Solve for x
    x = 950,427,241/20,072
  6. Step 6: Final answer
    x = 47,350.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.