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Finding the Third Proportional to 3,956.50 and 5,280.50

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Solution

The third proportional to 3,956.50 and 5,280.50 is: 7,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.50 : 5,280.50 = 5,280.50 : x
  2. Step 2: Convert to fraction form
    3,956.50/5,280.50 = 5,280.50/x
  3. Step 3: Cross multiply
    3,956.50x = 5,280.50 × 5,280.50
  4. Step 4: Simplify right side
    3,956.50x = 27,883,680.25
  5. Step 5: Solve for x
    x = 27,883,680.25/3,956.50
  6. Step 6: Final answer
    x = 7,047.56

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.