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Finding the Third Proportional to 944.75 and 2,078.38

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Solution

The third proportional to 944.75 and 2,078.38 is: 4,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.75 : 2,078.38 = 2,078.38 : x
  2. Step 2: Convert to fraction form
    944.75/2,078.38 = 2,078.38/x
  3. Step 3: Cross multiply
    944.75x = 2,078.38 × 2,078.38
  4. Step 4: Simplify right side
    944.75x = 4,319,642.64
  5. Step 5: Solve for x
    x = 4,319,642.64/944.75
  6. Step 6: Final answer
    x = 4,572.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.