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Finding the Third Proportional to 1,578.87 and 3,464.65

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Solution

The third proportional to 1,578.87 and 3,464.65 is: 7,602.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.87 : 3,464.65 = 3,464.65 : x
  2. Step 2: Convert to fraction form
    1,578.87/3,464.65 = 3,464.65/x
  3. Step 3: Cross multiply
    1,578.87x = 3,464.65 × 3,464.65
  4. Step 4: Simplify right side
    1,578.87x = 12,003,788.80
  5. Step 5: Solve for x
    x = 12,003,788.80/1,578.87
  6. Step 6: Final answer
    x = 7,602.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.