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Finding the Third Proportional to 13,543.88 and 20,199.38

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Solution

The third proportional to 13,543.88 and 20,199.38 is: 30,125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.88 : 20,199.38 = 20,199.38 : x
  2. Step 2: Convert to fraction form
    13,543.88/20,199.38 = 20,199.38/x
  3. Step 3: Cross multiply
    13,543.88x = 20,199.38 × 20,199.38
  4. Step 4: Simplify right side
    13,543.88x = 408,014,750.39
  5. Step 5: Solve for x
    x = 408,014,750.39/13,543.88
  6. Step 6: Final answer
    x = 30,125.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.