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Finding the Third Proportional to 16,178.06 and 33,140.25

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Solution

The third proportional to 16,178.06 and 33,140.25 is: 67,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.06 : 33,140.25 = 33,140.25 : x
  2. Step 2: Convert to fraction form
    16,178.06/33,140.25 = 33,140.25/x
  3. Step 3: Cross multiply
    16,178.06x = 33,140.25 × 33,140.25
  4. Step 4: Simplify right side
    16,178.06x = 1,098,276,170.06
  5. Step 5: Solve for x
    x = 1,098,276,170.06/16,178.06
  6. Step 6: Final answer
    x = 67,886.76

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.