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Finding the Third Proportional to 1,520.65 and 3,271.96

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Solution

The third proportional to 1,520.65 and 3,271.96 is: 7,040.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.65 : 3,271.96 = 3,271.96 : x
  2. Step 2: Convert to fraction form
    1,520.65/3,271.96 = 3,271.96/x
  3. Step 3: Cross multiply
    1,520.65x = 3,271.96 × 3,271.96
  4. Step 4: Simplify right side
    1,520.65x = 10,705,702.81
  5. Step 5: Solve for x
    x = 10,705,702.81/1,520.65
  6. Step 6: Final answer
    x = 7,040.22

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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.