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Finding the Third Proportional to 16,564.31 and 35,951.44

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Solution

The third proportional to 16,564.31 and 35,951.44 is: 78,029.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.31 : 35,951.44 = 35,951.44 : x
  2. Step 2: Convert to fraction form
    16,564.31/35,951.44 = 35,951.44/x
  3. Step 3: Cross multiply
    16,564.31x = 35,951.44 × 35,951.44
  4. Step 4: Simplify right side
    16,564.31x = 1,292,505,858.32
  5. Step 5: Solve for x
    x = 1,292,505,858.32/16,564.31
  6. Step 6: Final answer
    x = 78,029.55

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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.