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Finding the Third Proportional to 4,324.50 and 9,474.19

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Solution

The third proportional to 4,324.50 and 9,474.19 is: 20,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.50 : 9,474.19 = 9,474.19 : x
  2. Step 2: Convert to fraction form
    4,324.50/9,474.19 = 9,474.19/x
  3. Step 3: Cross multiply
    4,324.50x = 9,474.19 × 9,474.19
  4. Step 4: Simplify right side
    4,324.50x = 89,760,228.79
  5. Step 5: Solve for x
    x = 89,760,228.79/4,324.50
  6. Step 6: Final answer
    x = 20,756.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.