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Finding the Third Proportional to 1,052.25 and 1,578.38

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Solution

The third proportional to 1,052.25 and 1,578.38 is: 2,367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.25 : 1,578.38 = 1,578.38 : x
  2. Step 2: Convert to fraction form
    1,052.25/1,578.38 = 1,578.38/x
  3. Step 3: Cross multiply
    1,052.25x = 1,578.38 × 1,578.38
  4. Step 4: Simplify right side
    1,052.25x = 2,491,267.64
  5. Step 5: Solve for x
    x = 2,491,267.64/1,052.25
  6. Step 6: Final answer
    x = 2,367.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.