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Finding the Third Proportional to 2,078.44 and 3,117.56

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Solution

The third proportional to 2,078.44 and 3,117.56 is: 4,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.44 : 3,117.56 = 3,117.56 : x
  2. Step 2: Convert to fraction form
    2,078.44/3,117.56 = 3,117.56/x
  3. Step 3: Cross multiply
    2,078.44x = 3,117.56 × 3,117.56
  4. Step 4: Simplify right side
    2,078.44x = 9,719,195.94
  5. Step 5: Solve for x
    x = 9,719,195.94/2,078.44
  6. Step 6: Final answer
    x = 4,676.20

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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.