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Finding the Third Proportional to 8,238.50 and 18,117.50

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Solution

The third proportional to 8,238.50 and 18,117.50 is: 39,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.50 : 18,117.50 = 18,117.50 : x
  2. Step 2: Convert to fraction form
    8,238.50/18,117.50 = 18,117.50/x
  3. Step 3: Cross multiply
    8,238.50x = 18,117.50 × 18,117.50
  4. Step 4: Simplify right side
    8,238.50x = 328,243,806.25
  5. Step 5: Solve for x
    x = 328,243,806.25/8,238.50
  6. Step 6: Final answer
    x = 39,842.67

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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.