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Finding the Third Proportional to 34,186.50 and 71,829

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Solution

The third proportional to 34,186.50 and 71,829 is: 150,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,186.50 : 71,829 = 71,829 : x
  2. Step 2: Convert to fraction form
    34,186.50/71,829 = 71,829/x
  3. Step 3: Cross multiply
    34,186.50x = 71,829 × 71,829
  4. Step 4: Simplify right side
    34,186.50x = 5,159,405,241
  5. Step 5: Solve for x
    x = 5,159,405,241/34,186.50
  6. Step 6: Final answer
    x = 150,919.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.