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Finding the Third Proportional to 16,664.63 and 36,097.31

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Solution

The third proportional to 16,664.63 and 36,097.31 is: 78,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,664.63 : 36,097.31 = 36,097.31 : x
  2. Step 2: Convert to fraction form
    16,664.63/36,097.31 = 36,097.31/x
  3. Step 3: Cross multiply
    16,664.63x = 36,097.31 × 36,097.31
  4. Step 4: Simplify right side
    16,664.63x = 1,303,015,969.72
  5. Step 5: Solve for x
    x = 1,303,015,969.72/16,664.63
  6. Step 6: Final answer
    x = 78,190.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.