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Finding the Third Proportional to 37,683.56 and 51,175.69

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Solution

The third proportional to 37,683.56 and 51,175.69 is: 69,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,683.56 : 51,175.69 = 51,175.69 : x
  2. Step 2: Convert to fraction form
    37,683.56/51,175.69 = 51,175.69/x
  3. Step 3: Cross multiply
    37,683.56x = 51,175.69 × 51,175.69
  4. Step 4: Simplify right side
    37,683.56x = 2,618,950,991.10
  5. Step 5: Solve for x
    x = 2,618,950,991.10/37,683.56
  6. Step 6: Final answer
    x = 69,498.50

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.