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Finding the Third Proportional to 2,078.25 and 3,055.88

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Solution

The third proportional to 2,078.25 and 3,055.88 is: 4,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.25 : 3,055.88 = 3,055.88 : x
  2. Step 2: Convert to fraction form
    2,078.25/3,055.88 = 3,055.88/x
  3. Step 3: Cross multiply
    2,078.25x = 3,055.88 × 3,055.88
  4. Step 4: Simplify right side
    2,078.25x = 9,338,372.02
  5. Step 5: Solve for x
    x = 9,338,372.02/2,078.25
  6. Step 6: Final answer
    x = 4,493.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.