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Finding the Third Proportional to 8,242.50 and 18,327.75

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Solution

The third proportional to 8,242.50 and 18,327.75 is: 40,752.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.50 : 18,327.75 = 18,327.75 : x
  2. Step 2: Convert to fraction form
    8,242.50/18,327.75 = 18,327.75/x
  3. Step 3: Cross multiply
    8,242.50x = 18,327.75 × 18,327.75
  4. Step 4: Simplify right side
    8,242.50x = 335,906,420.06
  5. Step 5: Solve for x
    x = 335,906,420.06/8,242.50
  6. Step 6: Final answer
    x = 40,752.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.