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Finding the Third Proportional to 8,212.50 and 18,617.63

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Solution

The third proportional to 8,212.50 and 18,617.63 is: 42,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.50 : 18,617.63 = 18,617.63 : x
  2. Step 2: Convert to fraction form
    8,212.50/18,617.63 = 18,617.63/x
  3. Step 3: Cross multiply
    8,212.50x = 18,617.63 × 18,617.63
  4. Step 4: Simplify right side
    8,212.50x = 346,615,960.64
  5. Step 5: Solve for x
    x = 346,615,960.64/8,212.50
  6. Step 6: Final answer
    x = 42,205.90

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.