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Finding the Third Proportional to 13,371.75 and 20,705.63

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Solution

The third proportional to 13,371.75 and 20,705.63 is: 32,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,371.75 : 20,705.63 = 20,705.63 : x
  2. Step 2: Convert to fraction form
    13,371.75/20,705.63 = 20,705.63/x
  3. Step 3: Cross multiply
    13,371.75x = 20,705.63 × 20,705.63
  4. Step 4: Simplify right side
    13,371.75x = 428,722,906.64
  5. Step 5: Solve for x
    x = 428,722,906.64/13,371.75
  6. Step 6: Final answer
    x = 32,061.84

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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.