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Finding the Third Proportional to 4,344.19 and 9,467.81

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Solution

The third proportional to 4,344.19 and 9,467.81 is: 20,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.19 : 9,467.81 = 9,467.81 : x
  2. Step 2: Convert to fraction form
    4,344.19/9,467.81 = 9,467.81/x
  3. Step 3: Cross multiply
    4,344.19x = 9,467.81 × 9,467.81
  4. Step 4: Simplify right side
    4,344.19x = 89,639,473.54
  5. Step 5: Solve for x
    x = 89,639,473.54/4,344.19
  6. Step 6: Final answer
    x = 20,634.35

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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.