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Finding the Third Proportional to 1,522.59 and 3,280.22

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Solution

The third proportional to 1,522.59 and 3,280.22 is: 7,066.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.59 : 3,280.22 = 3,280.22 : x
  2. Step 2: Convert to fraction form
    1,522.59/3,280.22 = 3,280.22/x
  3. Step 3: Cross multiply
    1,522.59x = 3,280.22 × 3,280.22
  4. Step 4: Simplify right side
    1,522.59x = 10,759,835.05
  5. Step 5: Solve for x
    x = 10,759,835.05/1,522.59
  6. Step 6: Final answer
    x = 7,066.78

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Why These Related Problems?

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