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Finding the Third Proportional to 16,429.50 and 37,860.75

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Solution

The third proportional to 16,429.50 and 37,860.75 is: 87,247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,429.50 : 37,860.75 = 37,860.75 : x
  2. Step 2: Convert to fraction form
    16,429.50/37,860.75 = 37,860.75/x
  3. Step 3: Cross multiply
    16,429.50x = 37,860.75 × 37,860.75
  4. Step 4: Simplify right side
    16,429.50x = 1,433,436,390.56
  5. Step 5: Solve for x
    x = 1,433,436,390.56/16,429.50
  6. Step 6: Final answer
    x = 87,247.72

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.