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Finding the Third Proportional to 13,650.75 and 20,572.31

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Solution

The third proportional to 13,650.75 and 20,572.31 is: 31,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.75 : 20,572.31 = 20,572.31 : x
  2. Step 2: Convert to fraction form
    13,650.75/20,572.31 = 20,572.31/x
  3. Step 3: Cross multiply
    13,650.75x = 20,572.31 × 20,572.31
  4. Step 4: Simplify right side
    13,650.75x = 423,220,041.60
  5. Step 5: Solve for x
    x = 423,220,041.60/13,650.75
  6. Step 6: Final answer
    x = 31,003.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.