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Finding the Third Proportional to 8,410.50 and 18,186.19

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Solution

The third proportional to 8,410.50 and 18,186.19 is: 39,324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.50 : 18,186.19 = 18,186.19 : x
  2. Step 2: Convert to fraction form
    8,410.50/18,186.19 = 18,186.19/x
  3. Step 3: Cross multiply
    8,410.50x = 18,186.19 × 18,186.19
  4. Step 4: Simplify right side
    8,410.50x = 330,737,415.79
  5. Step 5: Solve for x
    x = 330,737,415.79/8,410.50
  6. Step 6: Final answer
    x = 39,324.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.