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Finding the Third Proportional to 13,708.83 and 20,664.49

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Solution

The third proportional to 13,708.83 and 20,664.49 is: 31,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.83 : 20,664.49 = 20,664.49 : x
  2. Step 2: Convert to fraction form
    13,708.83/20,664.49 = 20,664.49/x
  3. Step 3: Cross multiply
    13,708.83x = 20,664.49 × 20,664.49
  4. Step 4: Simplify right side
    13,708.83x = 427,021,237.37
  5. Step 5: Solve for x
    x = 427,021,237.37/13,708.83
  6. Step 6: Final answer
    x = 31,149.36

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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.