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Finding the Third Proportional to 16,160.25 and 33,784.50

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Solution

The third proportional to 16,160.25 and 33,784.50 is: 70,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160.25 : 33,784.50 = 33,784.50 : x
  2. Step 2: Convert to fraction form
    16,160.25/33,784.50 = 33,784.50/x
  3. Step 3: Cross multiply
    16,160.25x = 33,784.50 × 33,784.50
  4. Step 4: Simplify right side
    16,160.25x = 1,141,392,440.25
  5. Step 5: Solve for x
    x = 1,141,392,440.25/16,160.25
  6. Step 6: Final answer
    x = 70,629.63

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.