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Finding the Third Proportional to 2,928 and 5,207.25

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Solution

The third proportional to 2,928 and 5,207.25 is: 9,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928 : 5,207.25 = 5,207.25 : x
  2. Step 2: Convert to fraction form
    2,928/5,207.25 = 5,207.25/x
  3. Step 3: Cross multiply
    2,928x = 5,207.25 × 5,207.25
  4. Step 4: Simplify right side
    2,928x = 27,115,452.56
  5. Step 5: Solve for x
    x = 27,115,452.56/2,928
  6. Step 6: Final answer
    x = 9,260.74

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.