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Finding the Third Proportional to 37,180.69 and 59,853.94

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Solution

The third proportional to 37,180.69 and 59,853.94 is: 96,353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,180.69 : 59,853.94 = 59,853.94 : x
  2. Step 2: Convert to fraction form
    37,180.69/59,853.94 = 59,853.94/x
  3. Step 3: Cross multiply
    37,180.69x = 59,853.94 × 59,853.94
  4. Step 4: Simplify right side
    37,180.69x = 3,582,493,834.25
  5. Step 5: Solve for x
    x = 3,582,493,834.25/37,180.69
  6. Step 6: Final answer
    x = 96,353.62

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.