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Finding the Third Proportional to 1,524.66 and 3,329.44

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Solution

The third proportional to 1,524.66 and 3,329.44 is: 7,270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.66 : 3,329.44 = 3,329.44 : x
  2. Step 2: Convert to fraction form
    1,524.66/3,329.44 = 3,329.44/x
  3. Step 3: Cross multiply
    1,524.66x = 3,329.44 × 3,329.44
  4. Step 4: Simplify right side
    1,524.66x = 11,085,154.07
  5. Step 5: Solve for x
    x = 11,085,154.07/1,524.66
  6. Step 6: Final answer
    x = 7,270.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.