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Finding the Third Proportional to 13,618.50 and 32,199.38

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Solution

The third proportional to 13,618.50 and 32,199.38 is: 76,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,618.50 : 32,199.38 = 32,199.38 : x
  2. Step 2: Convert to fraction form
    13,618.50/32,199.38 = 32,199.38/x
  3. Step 3: Cross multiply
    13,618.50x = 32,199.38 × 32,199.38
  4. Step 4: Simplify right side
    13,618.50x = 1,036,799,750.39
  5. Step 5: Solve for x
    x = 1,036,799,750.39/13,618.50
  6. Step 6: Final answer
    x = 76,131.71

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.