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Finding the Third Proportional to 1,578.66 and 2,448.14

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Solution

The third proportional to 1,578.66 and 2,448.14 is: 3,796.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.66 : 2,448.14 = 2,448.14 : x
  2. Step 2: Convert to fraction form
    1,578.66/2,448.14 = 2,448.14/x
  3. Step 3: Cross multiply
    1,578.66x = 2,448.14 × 2,448.14
  4. Step 4: Simplify right side
    1,578.66x = 5,993,392.52
  5. Step 5: Solve for x
    x = 5,993,392.52/1,578.66
  6. Step 6: Final answer
    x = 3,796.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.