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Finding the Third Proportional to 37,362.38 and 80,626.50

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Solution

The third proportional to 37,362.38 and 80,626.50 is: 173,988.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,362.38 : 80,626.50 = 80,626.50 : x
  2. Step 2: Convert to fraction form
    37,362.38/80,626.50 = 80,626.50/x
  3. Step 3: Cross multiply
    37,362.38x = 80,626.50 × 80,626.50
  4. Step 4: Simplify right side
    37,362.38x = 6,500,632,502.25
  5. Step 5: Solve for x
    x = 6,500,632,502.25/37,362.38
  6. Step 6: Final answer
    x = 173,988.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.