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Finding the Third Proportional to 30,808 and 71,876

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Solution

The third proportional to 30,808 and 71,876 is: 167,688.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,808 : 71,876 = 71,876 : x
  2. Step 2: Convert to fraction form
    30,808/71,876 = 71,876/x
  3. Step 3: Cross multiply
    30,808x = 71,876 × 71,876
  4. Step 4: Simplify right side
    30,808x = 5,166,159,376
  5. Step 5: Solve for x
    x = 5,166,159,376/30,808
  6. Step 6: Final answer
    x = 167,688.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.