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Finding the Third Proportional to 38,234.50 and 82,841

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Solution

The third proportional to 38,234.50 and 82,841 is: 179,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,234.50 : 82,841 = 82,841 : x
  2. Step 2: Convert to fraction form
    38,234.50/82,841 = 82,841/x
  3. Step 3: Cross multiply
    38,234.50x = 82,841 × 82,841
  4. Step 4: Simplify right side
    38,234.50x = 6,862,631,281
  5. Step 5: Solve for x
    x = 6,862,631,281/38,234.50
  6. Step 6: Final answer
    x = 179,487.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.