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Finding the Third Proportional to 13,218.94 and 20,478.38

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Solution

The third proportional to 13,218.94 and 20,478.38 is: 31,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218.94 : 20,478.38 = 20,478.38 : x
  2. Step 2: Convert to fraction form
    13,218.94/20,478.38 = 20,478.38/x
  3. Step 3: Cross multiply
    13,218.94x = 20,478.38 × 20,478.38
  4. Step 4: Simplify right side
    13,218.94x = 419,363,842.64
  5. Step 5: Solve for x
    x = 419,363,842.64/13,218.94
  6. Step 6: Final answer
    x = 31,724.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.