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Finding the Third Proportional to 2,738.81 and 4,515.75

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Solution

The third proportional to 2,738.81 and 4,515.75 is: 7,445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.81 : 4,515.75 = 4,515.75 : x
  2. Step 2: Convert to fraction form
    2,738.81/4,515.75 = 4,515.75/x
  3. Step 3: Cross multiply
    2,738.81x = 4,515.75 × 4,515.75
  4. Step 4: Simplify right side
    2,738.81x = 20,391,998.06
  5. Step 5: Solve for x
    x = 20,391,998.06/2,738.81
  6. Step 6: Final answer
    x = 7,445.56

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.