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Finding the Third Proportional to 37,056.38 and 82,401.75

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Solution

The third proportional to 37,056.38 and 82,401.75 is: 183,235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,056.38 : 82,401.75 = 82,401.75 : x
  2. Step 2: Convert to fraction form
    37,056.38/82,401.75 = 82,401.75/x
  3. Step 3: Cross multiply
    37,056.38x = 82,401.75 × 82,401.75
  4. Step 4: Simplify right side
    37,056.38x = 6,790,048,403.06
  5. Step 5: Solve for x
    x = 6,790,048,403.06/37,056.38
  6. Step 6: Final answer
    x = 183,235.63

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.