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Finding the Third Proportional to 37,382.50 and 79,949

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Solution

The third proportional to 37,382.50 and 79,949 is: 170,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,382.50 : 79,949 = 79,949 : x
  2. Step 2: Convert to fraction form
    37,382.50/79,949 = 79,949/x
  3. Step 3: Cross multiply
    37,382.50x = 79,949 × 79,949
  4. Step 4: Simplify right side
    37,382.50x = 6,391,842,601
  5. Step 5: Solve for x
    x = 6,391,842,601/37,382.50
  6. Step 6: Final answer
    x = 170,984.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.