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Finding the Third Proportional to 1,524.23 and 3,280.92

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Solution

The third proportional to 1,524.23 and 3,280.92 is: 7,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.23 : 3,280.92 = 3,280.92 : x
  2. Step 2: Convert to fraction form
    1,524.23/3,280.92 = 3,280.92/x
  3. Step 3: Cross multiply
    1,524.23x = 3,280.92 × 3,280.92
  4. Step 4: Simplify right side
    1,524.23x = 10,764,448.35
  5. Step 5: Solve for x
    x = 10,764,448.35/1,524.23
  6. Step 6: Final answer
    x = 7,062.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.