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Finding the Third Proportional to 15,949.50 and 34,336.31

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Solution

The third proportional to 15,949.50 and 34,336.31 is: 73,919.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,949.50 : 34,336.31 = 34,336.31 : x
  2. Step 2: Convert to fraction form
    15,949.50/34,336.31 = 34,336.31/x
  3. Step 3: Cross multiply
    15,949.50x = 34,336.31 × 34,336.31
  4. Step 4: Simplify right side
    15,949.50x = 1,178,982,356.10
  5. Step 5: Solve for x
    x = 1,178,982,356.10/15,949.50
  6. Step 6: Final answer
    x = 73,919.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.