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Finding the Third Proportional to 8,224 and 18,087.50

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Solution

The third proportional to 8,224 and 18,087.50 is: 39,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224 : 18,087.50 = 18,087.50 : x
  2. Step 2: Convert to fraction form
    8,224/18,087.50 = 18,087.50/x
  3. Step 3: Cross multiply
    8,224x = 18,087.50 × 18,087.50
  4. Step 4: Simplify right side
    8,224x = 327,157,656.25
  5. Step 5: Solve for x
    x = 327,157,656.25/8,224
  6. Step 6: Final answer
    x = 39,780.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.