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Finding the Third Proportional to 13,713.05 and 20,479.92

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Solution

The third proportional to 13,713.05 and 20,479.92 is: 30,586.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.05 : 20,479.92 = 20,479.92 : x
  2. Step 2: Convert to fraction form
    13,713.05/20,479.92 = 20,479.92/x
  3. Step 3: Cross multiply
    13,713.05x = 20,479.92 × 20,479.92
  4. Step 4: Simplify right side
    13,713.05x = 419,427,200.01
  5. Step 5: Solve for x
    x = 419,427,200.01/13,713.05
  6. Step 6: Final answer
    x = 30,586.00

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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.