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Finding the Third Proportional to 1,524.45 and 3,168.49

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Solution

The third proportional to 1,524.45 and 3,168.49 is: 6,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.45 : 3,168.49 = 3,168.49 : x
  2. Step 2: Convert to fraction form
    1,524.45/3,168.49 = 3,168.49/x
  3. Step 3: Cross multiply
    1,524.45x = 3,168.49 × 3,168.49
  4. Step 4: Simplify right side
    1,524.45x = 10,039,342.74
  5. Step 5: Solve for x
    x = 10,039,342.74/1,524.45
  6. Step 6: Final answer
    x = 6,585.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.