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Finding the Third Proportional to 14,171.44 and 30,894.19

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Solution

The third proportional to 14,171.44 and 30,894.19 is: 67,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,171.44 : 30,894.19 = 30,894.19 : x
  2. Step 2: Convert to fraction form
    14,171.44/30,894.19 = 30,894.19/x
  3. Step 3: Cross multiply
    14,171.44x = 30,894.19 × 30,894.19
  4. Step 4: Simplify right side
    14,171.44x = 954,450,821.29
  5. Step 5: Solve for x
    x = 954,450,821.29/14,171.44
  6. Step 6: Final answer
    x = 67,350.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.