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Finding the Third Proportional to 37,462.50 and 79,693.31

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Solution

The third proportional to 37,462.50 and 79,693.31 is: 169,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,462.50 : 79,693.31 = 79,693.31 : x
  2. Step 2: Convert to fraction form
    37,462.50/79,693.31 = 79,693.31/x
  3. Step 3: Cross multiply
    37,462.50x = 79,693.31 × 79,693.31
  4. Step 4: Simplify right side
    37,462.50x = 6,351,024,057.22
  5. Step 5: Solve for x
    x = 6,351,024,057.22/37,462.50
  6. Step 6: Final answer
    x = 169,530.17

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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.