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Finding the Third Proportional to 14,175.25 and 30,517.19

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Solution

The third proportional to 14,175.25 and 30,517.19 is: 65,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175.25 : 30,517.19 = 30,517.19 : x
  2. Step 2: Convert to fraction form
    14,175.25/30,517.19 = 30,517.19/x
  3. Step 3: Cross multiply
    14,175.25x = 30,517.19 × 30,517.19
  4. Step 4: Simplify right side
    14,175.25x = 931,298,732.91
  5. Step 5: Solve for x
    x = 931,298,732.91/14,175.25
  6. Step 6: Final answer
    x = 65,698.93

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Why These Related Problems?

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