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Finding the Third Proportional to 37,654.50 and 80,313

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Solution

The third proportional to 37,654.50 and 80,313 is: 171,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,654.50 : 80,313 = 80,313 : x
  2. Step 2: Convert to fraction form
    37,654.50/80,313 = 80,313/x
  3. Step 3: Cross multiply
    37,654.50x = 80,313 × 80,313
  4. Step 4: Simplify right side
    37,654.50x = 6,450,177,969
  5. Step 5: Solve for x
    x = 6,450,177,969/37,654.50
  6. Step 6: Final answer
    x = 171,298.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.