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Finding the Third Proportional to 3,546.70 and 7,731.28

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Solution

The third proportional to 3,546.70 and 7,731.28 is: 16,853.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.70 : 7,731.28 = 7,731.28 : x
  2. Step 2: Convert to fraction form
    3,546.70/7,731.28 = 7,731.28/x
  3. Step 3: Cross multiply
    3,546.70x = 7,731.28 × 7,731.28
  4. Step 4: Simplify right side
    3,546.70x = 59,772,709.77
  5. Step 5: Solve for x
    x = 59,772,709.77/3,546.70
  6. Step 6: Final answer
    x = 16,853.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.