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Finding the Third Proportional to 1,578.75 and 3,732.38

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Solution

The third proportional to 1,578.75 and 3,732.38 is: 8,823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.75 : 3,732.38 = 3,732.38 : x
  2. Step 2: Convert to fraction form
    1,578.75/3,732.38 = 3,732.38/x
  3. Step 3: Cross multiply
    1,578.75x = 3,732.38 × 3,732.38
  4. Step 4: Simplify right side
    1,578.75x = 13,930,623.14
  5. Step 5: Solve for x
    x = 13,930,623.14/1,578.75
  6. Step 6: Final answer
    x = 8,823.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.